122627638149120 has 1440 divisors, whose sum is σ = 488074845585600. Its totient is φ = 28213405286400.

The previous prime is 122627638149067. The next prime is 122627638149151. The reversal of 122627638149120 is 21941836726221.

It is a happy number.

122627638149120 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 2 + 76 + 3 + 81 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24277890595 + ... + 24277895645.

It is an arithmetic number, because the mean of its divisors is an integer number (338940864990).

Almost surely, 2^{122627638149120} is an apocalyptic number.

122627638149120 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 122627638149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244037422792800).

122627638149120 is an abundant number, since it is smaller than the sum of its proper divisors (365447207436480).

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

122627638149120 is a wasteful number, since it uses less digits than its factorization.

122627638149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 122627638149120 in words is "one hundred twenty-two trillion, six hundred twenty-seven billion, six hundred thirty-eight million, one hundred forty-nine thousand, one hundred twenty".