120950867520 has 896 divisors, whose sum is σ = 503256499200. Its totient is φ = 26775650304.

The previous prime is 120950867491. The next prime is 120950867549. The reversal of 120950867520 is 25768059021.

120950867520 is a `hidden beast` number, since 12 + 0 + 9 + 50 + 8 + 67 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (120950867491) and next prime (120950867549).

It is a super-2 number, since 2×120950867520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310927486 + ... + 310927874.

It is an arithmetic number, because the mean of its divisors is an integer number (561670200).

Almost surely, 2^120950867520 is an apocalyptic number.

120950867520 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 120950867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251628249600).

120950867520 is an abundant number, since it is smaller than the sum of its proper divisors (382305631680).

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

120950867520 is a wasteful number, since it uses less digits than its factorization.

120950867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 120950867520 in words is "one hundred twenty billion, nine hundred fifty million, eight hundred sixty-seven thousand, five hundred twenty".