122628582236160 has 2688 divisors, whose sum is σ = 588665421112320. Its totient is φ = 23518406246400.

The previous prime is 122628582236159. The next prime is 122628582236161. The reversal of 122628582236160 is 61632285826221.

122628582236160 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 28 + 582 + 2 + 36 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122628582236159) and next prime (122628582236161).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 122628582236097 and 122628582236106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122628582236161) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 14391332700 + ... + 14391341220.

Almost surely, 2^{122628582236160} is an apocalyptic number.

122628582236160 is a gapful number since it is divisible by the number (10) 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 122628582236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294332710556160).

122628582236160 is an abundant number, since it is smaller than the sum of its proper divisors (466036838876160).

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

122628582236160 is a wasteful number, since it uses less digits than its factorization.

122628582236160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605 (or 8562 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 122628582236160 in words is "one hundred twenty-two trillion, six hundred twenty-eight billion, five hundred eighty-two million, two hundred thirty-six thousand, one hundred sixty".