1308212400 has 480 divisors, whose sum is σ = 4959682560. Its totient is φ = 291456000.

The previous prime is 1308212393. The next prime is 1308212443. The reversal of 1308212400 is 42128031.

It is a super-2 number, since 2×1308212400² = 3422839367027520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9411531 + ... + 9411669.

It is an arithmetic number, because the mean of its divisors is an integer number (10332672).

Almost surely, 2^1308212400 is an apocalyptic number.

1308212400 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 1308212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479841280).

1308212400 is an abundant number, since it is smaller than the sum of its proper divisors (3651470160).

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

1308212400 is a wasteful number, since it uses less digits than its factorization.

1308212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1308212400 is about 36169.2189575611. The cubic root of 1308212400 is about 1093.6862541352.

The spelling of 1308212400 in words is "one billion, three hundred eight million, two hundred twelve thousand, four hundred".