120210438362112 has 1584 divisors, whose sum is σ = 437283022176000. Its totient is φ = 32846731739136.

The previous prime is 120210438362099. The next prime is 120210438362129. The reversal of 120210438362112 is 211263834012021.

120210438362112 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 0 + 438 + 3 + 6 + 211 + 2 = 666.

It is a super-2 number, since 2×120210438362112² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38541338089 + ... + 38541341207.

It is an arithmetic number, because the mean of its divisors is an integer number (276062514000).

Almost surely, 2^{120210438362112} is an apocalyptic number.

120210438362112 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 120210438362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218641511088000).

120210438362112 is an abundant number, since it is smaller than the sum of its proper divisors (317072583813888).

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

120210438362112 is a wasteful number, since it uses less digits than its factorization.

120210438362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 120210438362112 in words is "one hundred twenty trillion, two hundred ten billion, four hundred thirty-eight million, three hundred sixty-two thousand, one hundred twelve".