1123260776400 has 480 divisors, whose sum is σ = 4168126080000. Its totient is φ = 253267660800.

The previous prime is 1123260776399. The next prime is 1123260776401. The reversal of 1123260776400 is 46770623211.

It is an interprime number because it is at equal distance from previous prime (1123260776399) and next prime (1123260776401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123260776401) 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, 373050895 + ... + 373053905.

It is an arithmetic number, because the mean of its divisors is an integer number (8683596000).

Almost surely, 2^{1123260776400} is an apocalyptic number.

1123260776400 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 1123260776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084063040000).

1123260776400 is an abundant number, since it is smaller than the sum of its proper divisors (3044865303600).

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

1123260776400 is a wasteful number, since it uses less digits than its factorization.

1123260776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 1123260776400 in words is "one trillion, one hundred twenty-three billion, two hundred sixty million, seven hundred seventy-six thousand, four hundred".