124787120640 has 1280 divisors, whose sum is σ = 522686545920. Its totient is φ = 24690032640.

The previous prime is 124787120581. The next prime is 124787120641. The reversal of 124787120640 is 46021787421.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 124787120592 and 124787120601.

It is not an unprimeable number, because it can be changed into a prime (124787120641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 952573375 + ... + 952573505.

It is an arithmetic number, because the mean of its divisors is an integer number (408348864).

Almost surely, 2^124787120640 is an apocalyptic number.

124787120640 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 124787120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261343272960).

124787120640 is an abundant number, since it is smaller than the sum of its proper divisors (397899425280).

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

124787120640 is a wasteful number, since it uses less digits than its factorization.

124787120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 124787120640 in words is "one hundred twenty-four billion, seven hundred eighty-seven million, one hundred twenty thousand, six hundred forty".