122048640000 has 880 divisors, whose sum is σ = 516702102400. Its totient is φ = 27869184000.

The previous prime is 122048639987. The next prime is 122048640001. The reversal of 122048640000 is 46840221.

122048640000 is a `hidden beast` number, since 12 + 2 + 0 + 4 + 8 + 640 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122048640001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120959496 + ... + 120960504.

It is an arithmetic number, because the mean of its divisors is an integer number (587161480).

Almost surely, 2^122048640000 is an apocalyptic number.

122048640000 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 122048640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258351051200).

122048640000 is an abundant number, since it is smaller than the sum of its proper divisors (394653462400).

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

122048640000 is an equidigital number, since it uses as much as digits as its factorization.

122048640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 122048640000 in words is "one hundred twenty-two billion, forty-eight million, six hundred forty thousand".