1212421210000 has 1125 divisors, whose sum is σ = 4067236274805. Its totient is φ = 348828480000.

The previous prime is 1212421209997. The next prime is 1212421210009. The reversal of 1212421210000 is 121242121.

The square root of 1212421210000 is 1101100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1197545016976 + 14876193024 = 1094324^2 + 121968^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1212421210009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 93263169994 + ... + 93263170006.

Almost surely, 2^{1212421210000} is an apocalyptic number.

1212421210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1212421210000 is the 1101100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212421210000

1212421210000 is an abundant number, since it is smaller than the sum of its proper divisors (2854815064805).

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

1212421210000 is an frugal number, since it uses more digits than its factorization.

1212421210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Multiplying 1212421210000 by its sum of digits (16), we get a square (19398739360000 = 4404400²).

1212421210000 divided by its sum of digits (16) gives a square (75776325625 = 275275²).

Multiplying 1212421210000 by its product of nonzero digits (64), we get a square (77594957440000 = 8808800²).

Adding to 1212421210000 its reverse (121242121), we get a palindrome (1212542452121).

1212421210000 divided by its reverse (121242121) gives a 4-th power (10000 = 10⁴).

The spelling of 1212421210000 in words is "one trillion, two hundred twelve billion, four hundred twenty-one million, two hundred ten thousand".