120271280236800 has 2592 divisors, whose sum is σ = 542414048279040. Its totient is φ = 23120687923200.

The previous prime is 120271280236763. The next prime is 120271280236823. The reversal of 120271280236800 is 8632082172021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10379840607 + ... + 10379852193.

It is an arithmetic number, because the mean of its divisors is an integer number (209264679120).

Almost surely, 2^{120271280236800} is an apocalyptic number.

120271280236800 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 120271280236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271207024139520).

120271280236800 is an abundant number, since it is smaller than the sum of its proper divisors (422142768042240).

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

120271280236800 is a wasteful number, since it uses less digits than its factorization.

120271280236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11717 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 120271280236800 in words is "one hundred twenty trillion, two hundred seventy-one billion, two hundred eighty million, two hundred thirty-six thousand, eight hundred".