1300112809776 has 320 divisors, whose sum is σ = 4315980902400. Its totient is φ = 370958745600.

The previous prime is 1300112809693. The next prime is 1300112809777. The reversal of 1300112809776 is 6779082110031.

1300112809776 is a `hidden beast` number, since 1 + 300 + 112 + 80 + 97 + 76 = 666.

It is a super-2 number, since 2×1300112809776² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1300112809777) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5331280 + ... + 5569808.

It is an arithmetic number, because the mean of its divisors is an integer number (13487440320).

Almost surely, 2^{1300112809776} is an apocalyptic number.

1300112809776 is a gapful number since it is divisible by the number (16) 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 1300112809776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157990451200).

1300112809776 is an abundant number, since it is smaller than the sum of its proper divisors (3015868092624).

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

1300112809776 is a wasteful number, since it uses less digits than its factorization.

1300112809776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238625 (or 238613 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1300112809776 in words is "one trillion, three hundred billion, one hundred twelve million, eight hundred nine thousand, seven hundred seventy-six".