12210110100000 has 360 divisors, whose sum is σ = 44884150300836. Its totient is φ = 3256027200000.

The previous prime is 12210110099959. The next prime is 12210110100043. The reversal of 12210110100000 is 101101221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1799343228816 + 10410766871184 = 1341396^2 + 3226572^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 7346290 + ... + 8853710.

Almost surely, 2^{12210110100000} is an apocalyptic number.

12210110100000 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 12210110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22442075150418).

12210110100000 is an abundant number, since it is smaller than the sum of its proper divisors (32674040200836).

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

12210110100000 is an frugal number, since it uses more digits than its factorization.

12210110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507468 (or 1507431 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12210110100000 its reverse (101101221), we get a palindrome (12210211201221).

The spelling of 12210110100000 in words is "twelve trillion, two hundred ten billion, one hundred ten million, one hundred thousand".