1197127680 has 384 divisors, whose sum is σ = 4623091200. Its totient is φ = 258342912.

The previous prime is 1197127609. The next prime is 1197127691. The reversal of 1197127680 is 867217911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1197127680² = 2866229364444364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085614 + ... + 4085906.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^1197127680 is an apocalyptic number.

1197127680 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 1197127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311545600).

1197127680 is an abundant number, since it is smaller than the sum of its proper divisors (3425963520).

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

1197127680 is a wasteful number, since it uses less digits than its factorization.

1197127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The square root of 1197127680 is about 34599.5329448246. The cubic root of 1197127680 is about 1061.8100319521.

The spelling of 1197127680 in words is "one billion, one hundred ninety-seven million, one hundred twenty-seven thousand, six hundred eighty".