1196127550800 has 1440 divisors, whose sum is σ = 5328214528000. Its totient is φ = 250934630400.

The previous prime is 1196127550781. The next prime is 1196127550843. The reversal of 1196127550800 is 80557216911.

1196127550800 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 12 + 7 + 550 + 80 + 0 = 666.

It is a super-2 number, since 2×1196127550800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2397048951 + ... + 2397049449.

Almost surely, 2^{1196127550800} is an apocalyptic number.

1196127550800 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 1196127550800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664107264000).

1196127550800 is an abundant number, since it is smaller than the sum of its proper divisors (4132086977200).

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

1196127550800 is a wasteful number, since it uses less digits than its factorization.

1196127550800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 1196127550800 in words is "one trillion, one hundred ninety-six billion, one hundred twenty-seven million, five hundred fifty thousand, eight hundred".