22405221401200 has 240 divisors, whose sum is σ = 58906902574080. Its totient is φ = 8121739392000.

The previous prime is 22405221401197. The next prime is 22405221401201. The reversal of 22405221401200 is 210412250422.

It is a happy number.

It is a super-2 number, since 2×22405221401200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22405221401201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2563228830 + ... + 2563237570.

It is an arithmetic number, because the mean of its divisors is an integer number (245445427392).

Almost surely, 2^{22405221401200} is an apocalyptic number.

22405221401200 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 22405221401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29453451287040).

22405221401200 is an abundant number, since it is smaller than the sum of its proper divisors (36501681172880).

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

22405221401200 is a wasteful number, since it uses less digits than its factorization.

22405221401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10536 (or 10525 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 22405221401200 its reverse (210412250422), we get a palindrome (22615633651622).

The spelling of 22405221401200 in words is "twenty-two trillion, four hundred five billion, two hundred twenty-one million, four hundred one thousand, two hundred".