120251333313252 has 384 divisors, whose sum is σ = 335427741895680. Its totient is φ = 37585022533632.

The previous prime is 120251333313229. The next prime is 120251333313281. The reversal of 120251333313252 is 252313333152021.

120251333313252 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 5 + 1 + 333 + 313 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×120251333313252² (a number of 29 digits) contains 22 as substring.

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

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, 59618904948 + ... + 59618906964.

It is an arithmetic number, because the mean of its divisors is an integer number (873509744520).

Almost surely, 2^{120251333313252} is an apocalyptic number.

120251333313252 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 120251333313252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167713870947840).

120251333313252 is an abundant number, since it is smaller than the sum of its proper divisors (215176408582428).

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

120251333313252 is a wasteful number, since it uses less digits than its factorization.

120251333313252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 120251333313252 its reverse (252313333152021), we get a palindrome (372564666465273).

The spelling of 120251333313252 in words is "one hundred twenty trillion, two hundred fifty-one billion, three hundred thirty-three million, three hundred thirteen thousand, two hundred fifty-two".