1120761475200 has 576 divisors, whose sum is σ = 4250505093120. Its totient is φ = 280218009600.

The previous prime is 1120761475187. The next prime is 1120761475219. The reversal of 1120761475200 is 25741670211.

1120761475200 is a `hidden beast` number, since 1 + 1 + 20 + 76 + 1 + 47 + 520 + 0 = 666.

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

It is a super-2 number, since 2×1120761475200² (a number of 25 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 71 ways as a sum of consecutive naturals, for example, 132677377 + ... + 132685823.

It is an arithmetic number, because the mean of its divisors is an integer number (7379349120).

Almost surely, 2^{1120761475200} is an apocalyptic number.

1120761475200 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 1120761475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125252546560).

1120761475200 is an abundant number, since it is smaller than the sum of its proper divisors (3129743617920).

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

1120761475200 is a wasteful number, since it uses less digits than its factorization.

1120761475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1120761475200 in words is "one trillion, one hundred twenty billion, seven hundred sixty-one million, four hundred seventy-five thousand, two hundred".