1127406124800 has 864 divisors, whose sum is σ = 4331907740160. Its totient is φ = 286366924800.

The previous prime is 1127406124739. The next prime is 1127406124807. The reversal of 1127406124800 is 84216047211.

It is a happy number.

1127406124800 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 406 + 1 + 248 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127406124807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1315525972 + ... + 1315526828.

Almost surely, 2^{1127406124800} is an apocalyptic number.

1127406124800 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 1127406124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165953870080).

1127406124800 is an abundant number, since it is smaller than the sum of its proper divisors (3204501615360).

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

1127406124800 is a wasteful number, since it uses less digits than its factorization.

1127406124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1127406124800 in words is "one trillion, one hundred twenty-seven billion, four hundred six million, one hundred twenty-four thousand, eight hundred".