120140567680 has 192 divisors, whose sum is σ = 335455706880. Its totient is φ = 41024256000.

The previous prime is 120140567663. The next prime is 120140567719. The reversal of 120140567680 is 86765041021.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7863729 + ... + 7878991.

It is an arithmetic number, because the mean of its divisors is an integer number (1747165140).

Almost surely, 2^120140567680 is an apocalyptic number.

120140567680 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 120140567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167727853440).

120140567680 is an abundant number, since it is smaller than the sum of its proper divisors (215315139200).

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

120140567680 is a wasteful number, since it uses less digits than its factorization.

120140567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15547 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 120140567680 in words is "one hundred twenty billion, one hundred forty million, five hundred sixty-seven thousand, six hundred eighty".