120415200552030 has 256 divisors, whose sum is σ = 308939937546240. Its totient is φ = 29987355686400.

The previous prime is 120415200552029. The next prime is 120415200552079. The reversal of 120415200552030 is 30255002514021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1775242156 + ... + 1775309984.

It is an arithmetic number, because the mean of its divisors is an integer number (1206796631040).

Almost surely, 2^{120415200552030} is an apocalyptic number.

120415200552030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120415200552030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154469968773120).

120415200552030 is an abundant number, since it is smaller than the sum of its proper divisors (188524736994210).

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

120415200552030 is a wasteful number, since it uses less digits than its factorization.

120415200552030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68447.

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 120415200552030 in words is "one hundred twenty trillion, four hundred fifteen billion, two hundred million, five hundred fifty-two thousand, thirty".