122138576640 has 216 divisors, whose sum is σ = 431579873088. Its totient is φ = 31877160960.

The previous prime is 122138576639. The next prime is 122138576663. The reversal of 122138576640 is 46675831221.

122138576640 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 38 + 576 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428650 + ... + 654230.

It is an arithmetic number, because the mean of its divisors is an integer number (1998054968).

Almost surely, 2^122138576640 is an apocalyptic number.

122138576640 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 122138576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215789936544).

122138576640 is an abundant number, since it is smaller than the sum of its proper divisors (309441296448).

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

122138576640 is a wasteful number, since it uses less digits than its factorization.

122138576640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225655 (or 225638 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 122138576640 in words is "one hundred twenty-two billion, one hundred thirty-eight million, five hundred seventy-six thousand, six hundred forty".