120506260578132 has 192 divisors, whose sum is σ = 332256215531520. Its totient is φ = 33512594227200.

The previous prime is 120506260578131. The next prime is 120506260578139. The reversal of 120506260578132 is 231875062605021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120506260578131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584285844 + ... + 584492052.

It is an arithmetic number, because the mean of its divisors is an integer number (1730501122560).

Almost surely, 2^{120506260578132} is an apocalyptic number.

120506260578132 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 120506260578132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166128107765760).

120506260578132 is an abundant number, since it is smaller than the sum of its proper divisors (211749954953388).

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

120506260578132 is a wasteful number, since it uses less digits than its factorization.

120506260578132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208214 (or 208212 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 120506260578132 in words is "one hundred twenty trillion, five hundred six billion, two hundred sixty million, five hundred seventy-eight thousand, one hundred thirty-two".