120510354151152 has 480 divisors, whose sum is σ = 405908977543680. Its totient is φ = 32648940656640.

The previous prime is 120510354151151. The next prime is 120510354151163. The reversal of 120510354151152 is 251151453015021.

120510354151152 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 1 + 0 + 354 + 151 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120510354151151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 648185118 + ... + 648371010.

It is an arithmetic number, because the mean of its divisors is an integer number (845643703216).

Almost surely, 2^{120510354151152} is an apocalyptic number.

120510354151152 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 120510354151152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202954488771840).

120510354151152 is an abundant number, since it is smaller than the sum of its proper divisors (285398623392528).

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

120510354151152 is a wasteful number, since it uses less digits than its factorization.

120510354151152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186341 (or 186332 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 120510354151152 in words is "one hundred twenty trillion, five hundred ten billion, three hundred fifty-four million, one hundred fifty-one thousand, one hundred fifty-two".