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122156152104 = 233722341591867
BaseRepresentation
bin111000111000100010…
…0101111010100101000
3102200022021100111010210
41301301010233110220
54000133433331404
6132041234141120
711553100106100
oct1616104572450
9380267314123
10122156152104
1147895a66108
121b811a217a0
13b699b0590c
145cab84c200
15329e410689
hex1c7112f528

122156152104 has 384 divisors, whose sum is σ = 386380108800. Its totient is φ = 32000855040.

The previous prime is 122156152093. The next prime is 122156152133. The reversal of 122156152104 is 401251651221.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 65428179 + ... + 65430045.

It is an arithmetic number, because the mean of its divisors is an integer number (1006198200).

Almost surely, 2122156152104 is an apocalyptic number.

122156152104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122156152104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193190054400).

122156152104 is an abundant number, since it is smaller than the sum of its proper divisors (264223956696).

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

122156152104 is a wasteful number, since it uses less digits than its factorization.

122156152104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 122156152104 in words is "one hundred twenty-two billion, one hundred fifty-six million, one hundred fifty-two thousand, one hundred four".