120434811247872 has 576 divisors, whose sum is σ = 397715123097600. Its totient is φ = 35632702586880.

The previous prime is 120434811247813. The next prime is 120434811247903. The reversal of 120434811247872 is 278742118434021.

120434811247872 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 3 + 481 + 1 + 24 + 78 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 10831437129 + ... + 10831448247.

Almost surely, 2^{120434811247872} is an apocalyptic number.

120434811247872 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 120434811247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198857561548800).

120434811247872 is an abundant number, since it is smaller than the sum of its proper divisors (277280311849728).

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

120434811247872 is a wasteful number, since it uses less digits than its factorization.

120434811247872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14511 (or 14491 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 120434811247872 in words is "one hundred twenty trillion, four hundred thirty-four billion, eight hundred eleven million, two hundred forty-seven thousand, eight hundred seventy-two".