122630641536 has 128 divisors (see below), whose sum is σ = 350972697600. Its totient is φ = 37713328128.

The previous prime is 122630641451. The next prime is 122630641603. The reversal of 122630641536 is 635146036221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a junction number, because it is equal to n+sod(n) for n = 122630641494 and 122630641503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12210405 + ... + 12220443.

It is an arithmetic number, because the mean of its divisors is an integer number (2741974200).

Almost surely, 2^122630641536 is an apocalyptic number.

122630641536 is a gapful number since it is divisible by the number (16) 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 122630641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175486348800).

122630641536 is an abundant number, since it is smaller than the sum of its proper divisors (228342056064).

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

122630641536 is a wasteful number, since it uses less digits than its factorization.

122630641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12516 (or 12504 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 122630641536 its reverse (635146036221), we get a palindrome (757776677757).

The spelling of 122630641536 in words is "one hundred twenty-two billion, six hundred thirty million, six hundred forty-one thousand, five hundred thirty-six".