1144122102400 has 48 divisors (see below), whose sum is σ = 2826339138990. Its totient is φ = 457648839680.

The previous prime is 1144122102391. The next prime is 1144122102407. The reversal of 1144122102400 is 42012214411.

It can be written as a sum of positive squares in 3 ways, for example, as 568745239104 + 575376863296 = 754152^2 + 758536^2 .

It is not an unprimeable number, because it can be changed into a prime (1144122102407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 178765879 + ... + 178772278.

Almost surely, 2^{1144122102400} is an apocalyptic number.

1144122102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144122102400 is an abundant number, since it is smaller than the sum of its proper divisors (1682217036590).

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

1144122102400 is an equidigital number, since it uses as much as digits as its factorization.

1144122102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357538181 (or 357538164 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1144122102400 its reverse (42012214411), we get a palindrome (1186134316811).

The spelling of 1144122102400 in words is "one trillion, one hundred forty-four billion, one hundred twenty-two million, one hundred two thousand, four hundred".