1012212345600 has 324 divisors, whose sum is σ = 3621344984712. Its totient is φ = 269740032000.

The previous prime is 1012212345593. The next prime is 1012212345643. The reversal of 1012212345600 is 65432122101.

1012212345600 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 12 + 3 + 45 + 600 = 666.

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 35 ways as a sum of consecutive naturals, for example, 99124495 + ... + 99134705.

Almost surely, 2^{1012212345600} is an apocalyptic number.

1012212345600 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 1012212345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810672492356).

1012212345600 is an abundant number, since it is smaller than the sum of its proper divisors (2609132639112).

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

1012212345600 is a wasteful number, since it uses less digits than its factorization.

1012212345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11942 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1012212345600 its reverse (65432122101), we get a palindrome (1077644467701).

The spelling of 1012212345600 in words is "one trillion, twelve billion, two hundred twelve million, three hundred forty-five thousand, six hundred".