1301211344400 has 240 divisors, whose sum is σ = 4786466384640. Its totient is φ = 298842739200.

The previous prime is 1301211344393. The next prime is 1301211344431. The reversal of 1301211344400 is 44431121031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1301211344400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2343322 + ... + 2844921.

It is an arithmetic number, because the mean of its divisors is an integer number (19943609936).

Almost surely, 2^{1301211344400} is an apocalyptic number.

1301211344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301211344400 is an abundant number, since it is smaller than the sum of its proper divisors (3485255040240).

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

1301211344400 is a wasteful number, since it uses less digits than its factorization.

1301211344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188294 (or 5188283 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1301211344400 its reverse (44431121031), we get a palindrome (1345642465431).

The spelling of 1301211344400 in words is "one trillion, three hundred one billion, two hundred eleven million, three hundred forty-four thousand, four hundred".