1142920120608 has 144 divisors (see below), whose sum is σ = 3715348343616. Its totient is φ = 326473182720.

The previous prime is 1142920120567. The next prime is 1142920120613. The reversal of 1142920120608 is 8060210292411.

1142920120608 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 9 + 20 + 1 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 8974498 + ... + 9100958.

It is an arithmetic number, because the mean of its divisors is an integer number (25801030164).

Almost surely, 2^{1142920120608} is an apocalyptic number.

1142920120608 is a gapful number since it is divisible by the number (18) 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 1142920120608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857674171808).

1142920120608 is an abundant number, since it is smaller than the sum of its proper divisors (2572428223008).

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

1142920120608 is a wasteful number, since it uses less digits than its factorization.

1142920120608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130967 (or 130956 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1142920120608 in words is "one trillion, one hundred forty-two billion, nine hundred twenty million, one hundred twenty thousand, six hundred eight".