1221176596640 has 1152 divisors, whose sum is σ = 4174096582656. Its totient is φ = 331333632000.

The previous prime is 1221176596639. The next prime is 1221176596657. The reversal of 1221176596640 is 466956711221.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1424943092 + ... + 1424943948.

It is an arithmetic number, because the mean of its divisors is an integer number (3623347728).

Almost surely, 2^{1221176596640} is an apocalyptic number.

1221176596640 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 1221176596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087048291328).

1221176596640 is an abundant number, since it is smaller than the sum of its proper divisors (2952919986016).

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

1221176596640 is a wasteful number, since it uses less digits than its factorization.

1221176596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 1221176596640 in words is "one trillion, two hundred twenty-one billion, one hundred seventy-six million, five hundred ninety-six thousand, six hundred forty".