120577287831361 has 9 divisors (see below), whose sum is σ = 121694858227593. Its totient is φ = 119469888258480.

The previous prime is 120577287831317. The next prime is 120577287831439. The reversal of 120577287831361 is 163138782775021.

It is a happy number.

The square root of 120577287831361 is 10980769.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2721077885761 + 117856209945600 = 1649569^2 + 10856160^2 .

It is not a de Polignac number, because 120577287831361 - 2¹⁵ = 120577287798593 is a prime.

It is a super-2 number, since 2×120577287831361² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120577287831361.

It is not an unprimeable number, because it can be changed into a prime (120577287871361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1196853451 + ... + 1196954191.

It is an arithmetic number, because the mean of its divisors is an integer number (13521650914177).

Almost surely, 2^{120577287831361} is an apocalyptic number.

120577287831361 is the 10980769-th square number.

120577287831361 is the 5490385-th centered octagonal number.

It is an amenable number.

120577287831361 is a deficient number, since it is larger than the sum of its proper divisors (1117570396232).

120577287831361 is an frugal number, since it uses more digits than its factorization.

120577287831361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201700 (or 100850 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 61.

The spelling of 120577287831361 in words is "one hundred twenty trillion, five hundred seventy-seven billion, two hundred eighty-seven million, eight hundred thirty-one thousand, three hundred sixty-one".