12220111022010 has 256 divisors, whose sum is σ = 32104822210560. Its totient is φ = 2967414912000.

The previous prime is 12220111021997. The next prime is 12220111022029. The reversal of 12220111022010 is 1022011102221.

It is a super-2 number, since 2×12220111022010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 414212260 + ... + 414241760.

It is an arithmetic number, because the mean of its divisors is an integer number (125409461760).

Almost surely, 2^{12220111022010} is an apocalyptic number.

12220111022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220111022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052411105280).

12220111022010 is an abundant number, since it is smaller than the sum of its proper divisors (19884711188550).

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

12220111022010 is a wasteful number, since it uses less digits than its factorization.

12220111022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29853.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12220111022010 its reverse (1022011102221), we get a palindrome (13242122124231).

It can be divided in two parts, 1222011 and 1022010, that added together give a triangular number (2244021 = T₂₁₁₈).

The spelling of 12220111022010 in words is "twelve trillion, two hundred twenty billion, one hundred eleven million, twenty-two thousand, ten".