20412211433100 has 144 divisors (see below), whose sum is σ = 59918876696448. Its totient is φ = 5364161487360.

The previous prime is 20412211433017. The next prime is 20412211433143. The reversal of 20412211433100 is 133411221402.

It is a super-2 number, since 2×20412211433100² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 25602687 + ... + 26387913.

It is an arithmetic number, because the mean of its divisors is an integer number (416103310392).

Almost surely, 2^{20412211433100} is an apocalyptic number.

20412211433100 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 20412211433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29959438348224).

20412211433100 is an abundant number, since it is smaller than the sum of its proper divisors (39506665263348).

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

20412211433100 is a wasteful number, since it uses less digits than its factorization.

20412211433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786504 (or 786497 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20412211433100 its reverse (133411221402), we get a palindrome (20545622654502).

The spelling of 20412211433100 in words is "twenty trillion, four hundred twelve billion, two hundred eleven million, four hundred thirty-three thousand, one hundred".