1146120192000 has 2160 divisors, whose sum is σ = 5090714673408. Its totient is φ = 256396492800.

The previous prime is 1146120191959. The next prime is 1146120192001. The reversal of 1146120192000 is 2910216411.

1146120192000 is a `hidden beast` number, since 1 + 14 + 612 + 0 + 19 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1146120192001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24385535977 + ... + 24385536023.

Almost surely, 2^{1146120192000} is an apocalyptic number.

1146120192000 is a gapful number since it is divisible by the number (10) 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 1146120192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545357336704).

1146120192000 is an abundant number, since it is smaller than the sum of its proper divisors (3944594481408).

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

1146120192000 is an frugal number, since it uses more digits than its factorization.

1146120192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

It can be divided in two parts, 11461201 and 92000, that added together give a square (11553201 = 3399²).

The spelling of 1146120192000 in words is "one trillion, one hundred forty-six billion, one hundred twenty million, one hundred ninety-two thousand".