122463841500 has 1152 divisors, whose sum is σ = 536055496704. Its totient is φ = 22705920000.

The previous prime is 122463841471. The next prime is 122463841519. The reversal of 122463841500 is 5148364221.

It is a happy number.

122463841500 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 638 + 4 + 15 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 139639062 + ... + 139639938.

It is an arithmetic number, because the mean of its divisors is an integer number (465325952).

Almost surely, 2^122463841500 is an apocalyptic number.

122463841500 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 122463841500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268027748352).

122463841500 is an abundant number, since it is smaller than the sum of its proper divisors (413591655204).

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

122463841500 is a wasteful number, since it uses less digits than its factorization.

122463841500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 122463841500 in words is "one hundred twenty-two billion, four hundred sixty-three million, eight hundred forty-one thousand, five hundred".