402212401200 has 300 divisors, whose sum is σ = 1458400953240. Its totient is φ = 106150072320.

The previous prime is 402212401177. The next prime is 402212401219. The reversal of 402212401200 is 2104212204.

402212401200 is a `hidden beast` number, since 4 + 0 + 221 + 240 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×402212401200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3078811 + ... + 3206789.

Almost surely, 2^402212401200 is an apocalyptic number.

402212401200 is a gapful number since it is divisible by the number (40) 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 402212401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729200476620).

402212401200 is an abundant number, since it is smaller than the sum of its proper divisors (1056188552040).

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

402212401200 is a wasteful number, since it uses less digits than its factorization.

402212401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128106 (or 128086 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 402212401200 its reverse (2104212204), we get a palindrome (404316613404).

The spelling of 402212401200 in words is "four hundred two billion, two hundred twelve million, four hundred one thousand, two hundred".