1139121561600 has 1008 divisors, whose sum is σ = 4687139602080. Its totient is φ = 261527961600.

The previous prime is 1139121561583. The next prime is 1139121561607. The reversal of 1139121561600 is 61651219311.

1139121561600 is a `hidden beast` number, since 1 + 1 + 3 + 91 + 2 + 1 + 561 + 6 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1139121561607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 385227322 + ... + 385230278.

Almost surely, 2^{1139121561600} is an apocalyptic number.

1139121561600 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 1139121561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343569801040).

1139121561600 is an abundant number, since it is smaller than the sum of its proper divisors (3548018040480).

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

1139121561600 is a wasteful number, since it uses less digits than its factorization.

1139121561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1139121561600 in words is "one trillion, one hundred thirty-nine billion, one hundred twenty-one million, five hundred sixty-one thousand, six hundred".