120030293544012 has 168 divisors, whose sum is σ = 323959998614112. Its totient is φ = 38867028076800.

The previous prime is 120030293543981. The next prime is 120030293544043. The reversal of 120030293544012 is 210445392030021.

120030293544012 is a `hidden beast` number, since 1 + 20 + 0 + 3 + 0 + 2 + 93 + 544 + 0 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (120030293543981) and next prime (120030293544043).

It is a super-2 number, since 2×120030293544012² (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 55 ways as a sum of consecutive naturals, for example, 67198312 + ... + 68961392.

It is an arithmetic number, because the mean of its divisors is an integer number (1928333325084).

Almost surely, 2^{120030293544012} is an apocalyptic number.

120030293544012 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 120030293544012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161979999307056).

120030293544012 is an abundant number, since it is smaller than the sum of its proper divisors (203929705070100).

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

120030293544012 is a wasteful number, since it uses less digits than its factorization.

120030293544012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763771 (or 1763754 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 120030293544012 in words is "one hundred twenty trillion, thirty billion, two hundred ninety-three million, five hundred forty-four thousand, twelve".