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122111221120212 = 223191804729676707
BaseRepresentation
bin11011110000111100111011…
…111101010011110011010100
3121000100201101221210012022010
4123300330323331103303110
5112001132240101321322
61111413042012304220
734502146615464012
oct3360747375236324
9530321357705263
10122111221120212
11359aa094986865
1211841b80a72070
13531a06716867c
142222300d6d8b2
15e1b5d6a3920c
hex6f0f3bf53cd4

122111221120212 has 48 divisors (see below), whose sum is σ = 299938926551040. Its totient is φ = 38559300226272.

The previous prime is 122111221120183. The next prime is 122111221120237. The reversal of 122111221120212 is 212021122111221.

It is a super-2 number, since 2×1221112211202122 (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10723638 + ... + 18953069.

It is an arithmetic number, because the mean of its divisors is an integer number (6248727636480).

Almost surely, 2122111221120212 is an apocalyptic number.

122111221120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111221120212 is an abundant number, since it is smaller than the sum of its proper divisors (177827705430828).

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

122111221120212 is a wasteful number, since it uses less digits than its factorization.

122111221120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29694780 (or 29694778 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122111221120212 its reverse (212021122111221), we get a palindrome (334132343231433).

The spelling of 122111221120212 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 18047 36094 54141 72188 108282 216564 342893 685786 1028679 1371572 2057358 4114716 29676707 59353414 89030121 118706828 178060242 356120484 563857433 1127714866 1691572299 2255429732 3383144598 6766289196 535575531229 1071151062458 1606726593687 2142302124916 3213453187374 6426906374748 10175935093351 20351870186702 30527805280053 40703740373404 61055610560106 122111221120212