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122011110012 = 223114122544551
BaseRepresentation
bin111000110100001101…
…1011100101001111100
3102122221011102120210110
41301220123130221330
53444334321010022
6132015013310020
711546356215621
oct1615033345174
9378834376713
10122011110012
11478210aa910
121b791335310
13b675a515ac
145c96494348
15329181000c
hex1c686dca7c

122011110012 has 48 divisors (see below), whose sum is σ = 318148717824. Its totient is φ = 36071280000.

The previous prime is 122011109999. The next prime is 122011110041. The reversal of 122011110012 is 210011110221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 122011110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11266864 + ... + 11277687.

It is an arithmetic number, because the mean of its divisors is an integer number (6628098288).

Almost surely, 2122011110012 is an apocalyptic number.

122011110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122011110012 is an abundant number, since it is smaller than the sum of its proper divisors (196137607812).

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

122011110012 is a wasteful number, since it uses less digits than its factorization.

122011110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22544610 (or 22544608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122011110012 its reverse (210011110221), we get a palindrome (332022220233).

The spelling of 122011110012 in words is "one hundred twenty-two billion, eleven million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 22544551 45089102 67633653 90178204 135267306 247990061 270534612 495980122 743970183 924326591 991960244 1487940366 1848653182 2772979773 2975880732 3697306364 5545959546 10167592501 11091919092 20335185002 30502777503 40670370004 61005555006 122011110012