120700512 has 144 divisors (see below), whose sum is σ = 361513152. Its totient is φ = 38154240.

The previous prime is 120700507. The next prime is 120700519. The reversal of 120700512 is 215007021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×120700512² = 29137227194124288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120700519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500712 + ... + 500952.

It is an arithmetic number, because the mean of its divisors is an integer number (2510508).

Almost surely, 2^120700512 is an apocalyptic number.

120700512 is a gapful number since it is divisible by the number (12) 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 120700512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180756576).

120700512 is an abundant number, since it is smaller than the sum of its proper divisors (240812640).

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

120700512 is a wasteful number, since it uses less digits than its factorization.

120700512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 120700512 is about 10986.3784751846. The cubic root of 120700512 is about 494.2003372615.

Adding to 120700512 its reverse (215007021), we get a palindrome (335707533).

The spelling of 120700512 in words is "one hundred twenty million, seven hundred thousand, five hundred twelve".