22011121240400 has 120 divisors (see below), whose sum is σ = 53247224292864. Its totient is φ = 8743691174400.

The previous prime is 22011121240399. The next prime is 22011121240403. The reversal of 22011121240400 is 404212111022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011121240403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72861665 + ... + 73163135.

Almost surely, 2^{22011121240400} is an apocalyptic number.

22011121240400 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 22011121240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26623612146432).

22011121240400 is an abundant number, since it is smaller than the sum of its proper divisors (31236103052464).

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

22011121240400 is a wasteful number, since it uses less digits than its factorization.

22011121240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302749 (or 302738 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22011121240400 its reverse (404212111022), we get a palindrome (22415333351422).

The spelling of 22011121240400 in words is "twenty-two trillion, eleven billion, one hundred twenty-one million, two hundred forty thousand, four hundred".