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122021202230232 = 233239722710039189
BaseRepresentation
bin11011101111101001000110…
…011010011111101111011000
3121000001010001101100202222220
4123233221012122133233120
5111443143410232331412
61111303433315144040
734462512066523434
oct3357510632375730
9530033041322886
10122021202230232
11359749a0633418
12118286398a5020
13531171c4612b6
14221bc017559c4
15e190b8bca68c
hex6efa4669fbd8

122021202230232 has 128 divisors (see below), whose sum is σ = 323014552358400. Its totient is φ = 38334599221248.

The previous prime is 122021202230173. The next prime is 122021202230293. The reversal of 122021202230232 is 232032202120221.

It is a super-2 number, since 2×1220212022302322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7134894 + ... + 17174082.

It is an arithmetic number, because the mean of its divisors is an integer number (2523551190300).

Almost surely, 2122021202230232 is an apocalyptic number.

122021202230232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021202230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161507276179200).

122021202230232 is an abundant number, since it is smaller than the sum of its proper divisors (200993350128168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122021202230232 is a wasteful number, since it uses less digits than its factorization.

122021202230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10039545 (or 10039541 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122021202230232 its reverse (232032202120221), we get a palindrome (354053404350453).

The spelling of 122021202230232 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred two million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 97 138 184 194 227 276 291 388 454 552 582 681 776 908 1164 1362 1816 2231 2328 2724 4462 5221 5448 6693 8924 10442 13386 15663 17848 20884 22019 26772 31326 41768 44038 53544 62652 66057 88076 125304 132114 176152 264228 506437 528456 1012874 1519311 2025748 3038622 4051496 6077244 10039189 12154488 20078378 30117567 40156756 60235134 80313512 120470268 230901347 240940536 461802694 692704041 923605388 973801333 1385408082 1847210776 1947602666 2278895903 2770816164 2921403999 3895205332 4557791806 5541632328 5842807998 6836687709 7790410664 9115583612 11685615996 13673375418 18231167224 22397430659 23371231992 27346750836 44794861318 52414605769 54693501672 67192291977 89589722636 104829211538 134384583954 157243817307 179179445272 209658423076 221052902591 268769167908 314487634614 419316846152 442105805182 537538335816 628975269228 663158707773 884211610364 1257950538456 1326317415546 1768423220728 2652634831092 5084216759593 5305269662184 10168433519186 15252650278779 20336867038372 30505300557558 40673734076744 61010601115116 122021202230232