1213514400 has 432 divisors, whose sum is σ = 4873188096. Its totient is φ = 260628480.

The previous prime is 1213514399. The next prime is 1213514413. The reversal of 1213514400 is 44153121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1998897 + ... + 1999503.

It is an arithmetic number, because the mean of its divisors is an integer number (11280528).

Almost surely, 2^1213514400 is an apocalyptic number.

1213514400 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 1213514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436594048).

1213514400 is an abundant number, since it is smaller than the sum of its proper divisors (3659673696).

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

1213514400 is a wasteful number, since it uses less digits than its factorization.

1213514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1213514400 is about 34835.5335828232. The cubic root of 1213514400 is about 1066.6329069176.

Adding to 1213514400 its reverse (44153121), we get a palindrome (1257667521).

It can be divided in two parts, 121351 and 4400, that added together give a triangular number (125751 = T₅₀₁).

The spelling of 1213514400 in words is "one billion, two hundred thirteen million, five hundred fourteen thousand, four hundred".