20412211221402 has 384 divisors, whose sum is σ = 55588771252224. Its totient is φ = 4825699200000.

The previous prime is 20412211221401. The next prime is 20412211221449.

20412211221402 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20412211221401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19421703777 + ... + 19421704827.

It is an arithmetic number, because the mean of its divisors is an integer number (144762425136).

Almost surely, 2^{20412211221402} is an apocalyptic number.

20412211221402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412211221402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794385626112).

20412211221402 is an abundant number, since it is smaller than the sum of its proper divisors (35176560030822).

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

20412211221402 is a wasteful number, since it uses less digits than its factorization.

20412211221402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2041221 and 1221402, that added together give a palindrome (3262623).

The spelling of 20412211221402 in words is "twenty trillion, four hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, four hundred two".