124621617120 has 2304 divisors, whose sum is σ = 600006113280. Its totient is φ = 21021327360.

The previous prime is 124621617091. The next prime is 124621617181. The reversal of 124621617120 is 21716126421.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 383 ways as a sum of consecutive naturals, for example, 1707145404 + ... + 1707145476.

It is an arithmetic number, because the mean of its divisors is an integer number (260419320).

Almost surely, 2^124621617120 is an apocalyptic number.

124621617120 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 124621617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300003056640).

124621617120 is an abundant number, since it is smaller than the sum of its proper divisors (475384496160).

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

124621617120 is a wasteful number, since it uses less digits than its factorization.

124621617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 124621617120 in words is "one hundred twenty-four billion, six hundred twenty-one million, six hundred seventeen thousand, one hundred twenty".