1151222134400 has 96 divisors (see below), whose sum is σ = 3062638418700. Its totient is φ = 425066618880.

The previous prime is 1151222134327. The next prime is 1151222134423. The reversal of 1151222134400 is 44312221511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 458372329024 + 692849805376 = 677032^2 + 832376^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1151222134400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13795205 + ... + 13878404.

Almost surely, 2^{1151222134400} is an apocalyptic number.

1151222134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151222134400 is an abundant number, since it is smaller than the sum of its proper divisors (1911416284300).

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

1151222134400 is a wasteful number, since it uses less digits than its factorization.

1151222134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27673646 (or 27673629 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1151222134400 its reverse (44312221511), we get a palindrome (1195534355911).

The spelling of 1151222134400 in words is "one trillion, one hundred fifty-one billion, two hundred twenty-two million, one hundred thirty-four thousand, four hundred".