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122111220120 = 23357313939637
BaseRepresentation
bin111000110111001100…
…1010101100110011000
3102200012010210201001020
41301232121111212120
54000040433020440
6132032551122440
711552013150051
oct1615631254630
9380163721036
10122111220120
114787266703a
121b7ba973420
13b690703246
145ca58b3728
15329a4d73d0
hex1c6e655998

122111220120 has 64 divisors (see below), whose sum is σ = 371351956320. Its totient is φ = 32116921344.

The previous prime is 122111220067. The next prime is 122111220173. The reversal of 122111220120 is 21022111221.

It is an interprime number because it is at equal distance from previous prime (122111220067) and next prime (122111220173).

It is a super-2 number, since 2×1221112201202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122111220120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6961059 + ... + 6978578.

Almost surely, 2122111220120 is an apocalyptic number.

122111220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111220120 is an abundant number, since it is smaller than the sum of its proper divisors (249240736200).

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

122111220120 is a wasteful number, since it uses less digits than its factorization.

122111220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939724 (or 13939720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122111220120 its reverse (21022111221), we get a palindrome (143133331341).

The spelling of 122111220120 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 13939637 27879274 41818911 55758548 69698185 83637822 111517096 139396370 167275644 209094555 278792740 334551288 418189110 557585480 836378220 1017593501 1672756440 2035187002 3052780503 4070374004 5087967505 6105561006 8140748008 10175935010 12211122012 15263902515 20351870020 24422244024 30527805030 40703740040 61055610060 122111220120