120141305524251 has 48 divisors (see below), whose sum is σ = 190175352468192. Its totient is φ = 72482022835200.

The previous prime is 120141305524199. The next prime is 120141305524259. The reversal of 120141305524251 is 152425503141021.

120141305524251 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 13 + 0 + 552 + 42 + 51 = 666.

It is not a de Polignac number, because 120141305524251 - 2³⁴ = 120124125655067 is a prime.

It is a super-2 number, since 2×120141305524251² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120141305524259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23204541 + ... + 27905793.

It is an arithmetic number, because the mean of its divisors is an integer number (3961986509754).

Almost surely, 2^{120141305524251} is an apocalyptic number.

120141305524251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120141305524251 is a deficient number, since it is larger than the sum of its proper divisors (70034046943941).

120141305524251 is a wasteful number, since it uses less digits than its factorization.

120141305524251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702444 (or 4702441 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 120141305524251 its reverse (152425503141021), we get a palindrome (272566808665272).

The spelling of 120141305524251 in words is "one hundred twenty trillion, one hundred forty-one billion, three hundred five million, five hundred twenty-four thousand, two hundred fifty-one".