22002102212000 has 192 divisors, whose sum is σ = 55647027674784. Its totient is φ = 8545760870400.

The previous prime is 22002102211931. The next prime is 22002102212011. The reversal of 22002102212000 is 21220120022.

It can be written as a sum of positive squares in 16 ways, for example, as 1456877968144 + 20545224243856 = 1207012^2 + 4532684^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20029034 + ... + 21098966.

Almost surely, 2^{22002102212000} is an apocalyptic number.

22002102212000 is a gapful number since it is divisible by the number (20) 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 22002102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27823513837392).

22002102212000 is an abundant number, since it is smaller than the sum of its proper divisors (33644925462784).

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

22002102212000 is a wasteful number, since it uses less digits than its factorization.

22002102212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070108 (or 1070090 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22002102212000 its reverse (21220120022), we get a palindrome (22023322332022).

The spelling of 22002102212000 in words is "twenty-two trillion, two billion, one hundred two million, two hundred twelve thousand".