10212312220000 has 240 divisors, whose sum is σ = 27416484716544. Its totient is φ = 3712392000000.

The previous prime is 10212312219953. The next prime is 10212312220003. The reversal of 10212312220000 is 2221321201.

It is a happy number.

It is a super-2 number, since 2×10212312220000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212312220003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1010014945 + ... + 1010025055.

Almost surely, 2^{10212312220000} is an apocalyptic number.

10212312220000 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 10212312220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708242358272).

10212312220000 is an abundant number, since it is smaller than the sum of its proper divisors (17204172496544).

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

10212312220000 is a wasteful number, since it uses less digits than its factorization.

10212312220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14720 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10212312220000 its reverse (2221321201), we get a palindrome (10214533541201).

The spelling of 10212312220000 in words is "ten trillion, two hundred twelve billion, three hundred twelve million, two hundred twenty thousand".