1197526821120 has 864 divisors, whose sum is σ = 4963054387200. Its totient is φ = 266290053120.

The previous prime is 1197526821109. The next prime is 1197526821173. The reversal of 1197526821120 is 211286257911.

1197526821120 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 526 + 8 + 2 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146196225 + ... + 146204415.

Almost surely, 2^{1197526821120} is an apocalyptic number.

1197526821120 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 1197526821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481527193600).

1197526821120 is an abundant number, since it is smaller than the sum of its proper divisors (3765527566080).

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

1197526821120 is an equidigital number, since it uses as much as digits as its factorization.

1197526821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8276 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1197526821120 in words is "one trillion, one hundred ninety-seven billion, five hundred twenty-six million, eight hundred twenty-one thousand, one hundred twenty".