1212916003200 has 1728 divisors, whose sum is σ = 5110643210400. Its totient is φ = 272985292800.

The previous prime is 1212916003153. The next prime is 1212916003217. The reversal of 1212916003200 is 23006192121.

1212916003200 is a `hidden beast` number, since 1 + 2 + 1 + 29 + 1 + 600 + 32 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2965564596 + ... + 2965565004.

Almost surely, 2^{1212916003200} is an apocalyptic number.

1212916003200 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 1212916003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555321605200).

1212916003200 is an abundant number, since it is smaller than the sum of its proper divisors (3897727207200).

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

1212916003200 is a wasteful number, since it uses less digits than its factorization.

1212916003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1212916003200 in words is "one trillion, two hundred twelve billion, nine hundred sixteen million, three thousand, two hundred".