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122112101012 = 22115857473839
BaseRepresentation
bin111000110111001110…
…0101100101010010100
3102200012012110110101212
41301232130230222110
54000041144213022
6132033022040552
711552023506206
oct1615634545224
9380165413355
10122112101012
1147873108950
121b7bb119158
13b690951195
145ca5a62776
15329a60d3e2
hex1c6e72ca94

122112101012 has 24 divisors (see below), whose sum is σ = 233163396480. Its totient is φ = 55495906560.

The previous prime is 122112100973. The next prime is 122112101047. The reversal of 122112101012 is 210101211221.

It is a super-2 number, since 2×1221121010122 (a number of 23 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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20789 + ... + 494627.

It is an arithmetic number, because the mean of its divisors is an integer number (9715141520).

Almost surely, 2122112101012 is an apocalyptic number.

It is an amenable number.

122112101012 is a deficient number, since it is larger than the sum of its proper divisors (111051295468).

122112101012 is a wasteful number, since it uses less digits than its factorization.

122112101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479711 (or 479709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122112101012 its reverse (210101211221), we get a palindrome (332213312233).

The spelling of 122112101012 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 4 11 22 44 5857 11714 23428 64427 128854 257708 473839 947678 1895356 5212229 10424458 20848916 2775275023 5550550046 11101100092 30528025253 61056050506 122112101012