120102173472015 has 288 divisors, whose sum is σ = 248599391504256. Its totient is φ = 53461426636800.

The previous prime is 120102173471953. The next prime is 120102173472103. The reversal of 120102173472015 is 510274371201021.

120102173472015 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 2 + 173 + 472 + 0 + 15 = 666.

It is not a de Polignac number, because 120102173472015 - 2¹⁵ = 120102173439247 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24228799917 + ... + 24228804873.

It is an arithmetic number, because the mean of its divisors is an integer number (863192331612).

Almost surely, 2^{120102173472015} is an apocalyptic number.

120102173472015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120102173472015 is an abundant number, since it is smaller than the sum of its proper divisors (128497218032241).

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

120102173472015 is a wasteful number, since it uses less digits than its factorization.

120102173472015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 120102173472015 in words is "one hundred twenty trillion, one hundred two billion, one hundred seventy-three million, four hundred seventy-two thousand, fifteen".