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122021201022 = 2379742171143
BaseRepresentation
bin111000110100100000…
…1111100010001111110
3102122221212102021001120
41301221001330101332
53444344411413042
6132020013451410
711546541044520
oct1615101742176
9378855367046
10122021201022
1147826872396
121b7947a0b66
13b677b756c6
145c9795da10
153292654dec
hex1c6907c47e

122021201022 has 64 divisors (see below), whose sum is σ = 282454201344. Its totient is φ = 34421345280.

The previous prime is 122021201021. The next prime is 122021201039. The reversal of 122021201022 is 220102120221.

It is a junction number, because it is equal to n+sod(n) for n = 122021200992 and 122021201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1679583 + ... + 1750725.

It is an arithmetic number, because the mean of its divisors is an integer number (4413346896).

Almost surely, 2122021201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122021201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141227100672).

122021201022 is an abundant number, since it is smaller than the sum of its proper divisors (160433000322).

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

122021201022 is a wasteful number, since it uses less digits than its factorization.

122021201022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71673.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122021201022 its reverse (220102120221), we get a palindrome (342123321243).

The spelling of 122021201022 in words is "one hundred twenty-two billion, twenty-one million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 97 194 291 421 582 679 842 1263 1358 2037 2526 2947 4074 5894 8841 17682 40837 71143 81674 122511 142286 213429 245022 285859 426858 498001 571718 857577 996002 1494003 1715154 2988006 6900871 13801742 20702613 29951203 41405226 48306097 59902406 89853609 96612194 144918291 179707218 209658421 289836582 419316842 628975263 1257950526 2905266691 5810533382 8715800073 17431600146 20336866837 40673733674 61010600511 122021201022