120890686830 has 64 divisors (see below), whose sum is σ = 296923968000. Its totient is φ = 31491815040.

The previous prime is 120890686823. The next prime is 120890686843. The reversal of 120890686830 is 38686098021.

It is a super-2 number, since 2×120890686830² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28180 + ... + 492519.

It is an arithmetic number, because the mean of its divisors is an integer number (4639437000).

Almost surely, 2^120890686830 is an apocalyptic number.

120890686830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120890686830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148461984000).

120890686830 is an abundant number, since it is smaller than the sum of its proper divisors (176033281170).

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

120890686830 is a wasteful number, since it uses less digits than its factorization.

120890686830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520889.

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 120890686830 in words is "one hundred twenty billion, eight hundred ninety million, six hundred eighty-six thousand, eight hundred thirty".