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122014324002030 = 235178311239256469
BaseRepresentation
bin11011101111100010101100…
…011100001000110011101110
3121000000110022000202120201020
4123233202230130020303232
5111443040313421031110
61111300335010555010
734462146456535125
oct3357425434106356
9530013260676636
10122014324002030
1135971a90aa07a9
121182723a298a66
135310b94452895
14221b74c056abc
15e18d14e16d70
hex6ef8ac708cee

122014324002030 has 128 divisors (see below), whose sum is σ = 313824734899200. Its totient is φ = 30251438782464.

The previous prime is 122014324002029. The next prime is 122014324002083. The reversal of 122014324002030 is 30200423410221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475618636 + ... + 475875104.

It is an arithmetic number, because the mean of its divisors is an integer number (2451755741400).

Almost surely, 2122014324002030 is an apocalyptic number.

122014324002030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122014324002030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156912367449600).

122014324002030 is an abundant number, since it is smaller than the sum of its proper divisors (191810410897170).

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

122014324002030 is a wasteful number, since it uses less digits than its factorization.

122014324002030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267818.

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

Adding to 122014324002030 its reverse (30200423410221), we get a palindrome (152214747412251).

The spelling of 122014324002030 in words is "one hundred twenty-two trillion, fourteen billion, three hundred twenty-four million, two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 83 85 102 166 170 249 255 415 498 510 830 1245 1411 2490 2822 4233 7055 8466 11239 14110 21165 22478 33717 42330 56195 67434 112390 168585 191063 256469 337170 382126 512938 573189 769407 932837 955315 1146378 1282345 1538814 1865674 1910630 2564690 2798511 2865945 3847035 4359973 4664185 5597022 5731890 7694070 8719946 9328370 13079919 13992555 15858229 21286927 21799865 26159838 27985110 31716458 42573854 43599730 47574687 63860781 65399595 79291145 95149374 106434635 127721562 130799190 158582290 212869270 237873435 319303905 361877759 475746870 638607810 723755518 1085633277 1809388795 2171266554 2882455091 3618777590 5428166385 5764910182 8647365273 10856332770 14412275455 17294730546 28824550910 43236826365 49001736547 86473652730 98003473094 147005209641 239243772553 245008682735 294010419282 478487545106 490017365470 717731317659 735026048205 1196218862765 1435462635318 1470052096410 2392437725530 3588656588295 4067144133401 7177313176590 8134288266802 12201432400203 20335720667005 24402864800406 40671441334010 61007162001015 122014324002030