1212710400 has 720 divisors, whose sum is σ = 5061394800. Its totient is φ = 283852800.

The previous prime is 1212710399. The next prime is 1212710407. The reversal of 1212710400 is 40172121.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212710407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41817586 + ... + 41817614.

It is an arithmetic number, because the mean of its divisors is an integer number (7029715).

Almost surely, 2^1212710400 is an apocalyptic number.

1212710400 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 1212710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530697400).

1212710400 is an abundant number, since it is smaller than the sum of its proper divisors (3848684400).

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

1212710400 is a wasteful number, since it uses less digits than its factorization.

1212710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1212710400 is about 34823.9917298405. The cubic root of 1212710400 is about 1066.3972930898.

Adding to 1212710400 its reverse (40172121), we get a palindrome (1252882521).

The spelling of 1212710400 in words is "one billion, two hundred twelve million, seven hundred ten thousand, four hundred".