124977220945920 has 4608 divisors, whose sum is σ = 572396809420800. Its totient is φ = 25248949862400.

The previous prime is 124977220945909. The next prime is 124977220945957. The reversal of 124977220945920 is 29549022779421.

124977220945920 is a `hidden beast` number, since 1 + 2 + 4 + 97 + 72 + 2 + 0 + 9 + 459 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 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, 2659089807337 + ... + 2659089807383.

It is an arithmetic number, because the mean of its divisors is an integer number (124218057600).

Almost surely, 2^{124977220945920} is an apocalyptic number.

124977220945920 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 124977220945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286198404710400).

124977220945920 is an abundant number, since it is smaller than the sum of its proper divisors (447419588474880).

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

124977220945920 is a wasteful number, since it uses less digits than its factorization.

124977220945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 124977220945920 in words is "one hundred twenty-four trillion, nine hundred seventy-seven billion, two hundred twenty million, nine hundred forty-five thousand, nine hundred twenty".