122864743590624 has 1152 divisors, whose sum is σ = 453526197755904. Its totient is φ = 31908225024000.

The previous prime is 122864743590571. The next prime is 122864743590643. The reversal of 122864743590624 is 426095347468221.

122864743590624 is a `hidden beast` number, since 1 + 2 + 28 + 6 + 474 + 35 + 90 + 6 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14945226834 + ... + 14945235054.

It is an arithmetic number, because the mean of its divisors is an integer number (393685935552).

It is a 1-persistent number, because it is pandigital, but 2⋅122864743590624 = 245729487181248 is not.

Almost surely, 2^{122864743590624} is an apocalyptic number.

122864743590624 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 122864743590624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226763098877952).

122864743590624 is an abundant number, since it is smaller than the sum of its proper divisors (330661454165280).

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

122864743590624 is a wasteful number, since it uses less digits than its factorization.

122864743590624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 122864743590624 in words is "one hundred twenty-two trillion, eight hundred sixty-four billion, seven hundred forty-three million, five hundred ninety thousand, six hundred twenty-four".