1198921117680 has 1920 divisors, whose sum is σ = 5132617491456. Its totient is φ = 256197427200.

The previous prime is 1198921117661. The next prime is 1198921117699. The reversal of 1198921117680 is 867111298911.

It is an interprime number because it is at equal distance from previous prime (1198921117661) and next prime (1198921117699).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7636440162 + ... + 7636440318.

Almost surely, 2^{1198921117680} is an apocalyptic number.

1198921117680 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 1198921117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566308745728).

1198921117680 is an abundant number, since it is smaller than the sum of its proper divisors (3933696373776).

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

1198921117680 is a wasteful number, since it uses less digits than its factorization.

1198921117680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 54.

The spelling of 1198921117680 in words is "one trillion, one hundred ninety-eight billion, nine hundred twenty-one million, one hundred seventeen thousand, six hundred eighty".