120027262138380 has 144 divisors (see below), whose sum is σ = 376798748114880. Its totient is φ = 30890321527296.

The previous prime is 120027262138309. The next prime is 120027262138423. The reversal of 120027262138380 is 83831262720021.

120027262138380 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 7 + 262 + 1 + 3 + 8 + 380 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7250329 + ... + 17106191.

It is an arithmetic number, because the mean of its divisors is an integer number (2616657973020).

Almost surely, 2^{120027262138380} is an apocalyptic number.

120027262138380 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 120027262138380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188399374057440).

120027262138380 is an abundant number, since it is smaller than the sum of its proper divisors (256771485976500).

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

120027262138380 is a wasteful number, since it uses less digits than its factorization.

120027262138380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9858240 (or 9858235 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 120027262138380 in words is "one hundred twenty trillion, twenty-seven billion, two hundred sixty-two million, one hundred thirty-eight thousand, three hundred eighty".