120267713205552 has 640 divisors, whose sum is σ = 367072745840640. Its totient is φ = 33586348032000.

The previous prime is 120267713205547. The next prime is 120267713205553. The reversal of 120267713205552 is 255502317762021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (120267713205553) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 4751961474 + ... + 4751986782.

It is an arithmetic number, because the mean of its divisors is an integer number (573551165376).

Almost surely, 2^{120267713205552} is an apocalyptic number.

120267713205552 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 120267713205552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183536372920320).

120267713205552 is an abundant number, since it is smaller than the sum of its proper divisors (246805032635088).

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

120267713205552 is a wasteful number, since it uses less digits than its factorization.

120267713205552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25573 (or 25567 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 120267713205552 in words is "one hundred twenty trillion, two hundred sixty-seven billion, seven hundred thirteen million, two hundred five thousand, five hundred fifty-two".