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122012214401 = 7112368894531
BaseRepresentation
bin111000110100001111…
…1101010010010000001
3102122221020111200201202
41301220133222102001
53444340111330101
6132015053110545
711546401465460
oct1615037522201
9378836450652
10122012214401
1147821794630
121b791788455
13b67604a18c
145c966a09d7
15329197c36b
hex1c687ea481

122012214401 has 16 divisors (see below), whose sum is σ = 158733001728. Its totient is φ = 90940779600.

The previous prime is 122012214391. The next prime is 122012214421. The reversal of 122012214401 is 104412210221.

It is a de Polignac number, because none of the positive numbers 2k-122012214401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122012214421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34445495 + ... + 34449036.

It is an arithmetic number, because the mean of its divisors is an integer number (9920812608).

Almost surely, 2122012214401 is an apocalyptic number.

122012214401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012214401 is a deficient number, since it is larger than the sum of its proper divisors (36720787327).

122012214401 is a wasteful number, since it uses less digits than its factorization.

122012214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68894572.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122012214401 its reverse (104412210221), we get a palindrome (226424424622).

The spelling of 122012214401 in words is "one hundred twenty-two billion, twelve million, two hundred fourteen thousand, four hundred one".

Divisors: 1 7 11 23 77 161 253 1771 68894531 482261717 757839841 1584574213 5304878887 11092019491 17430316343 122012214401