212274262721400 has 192 divisors, whose sum is σ = 717952129372800. Its totient is φ = 51454752192000.

The previous prime is 212274262721393. The next prime is 212274262721429. The reversal of 212274262721400 is 4127262472212.

It is a happy number.

It is a super-2 number, since 2×212274262721400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58231666 + ... + 61769534.

It is an arithmetic number, because the mean of its divisors is an integer number (3739334007150).

Almost surely, 2^{212274262721400} is an apocalyptic number.

212274262721400 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 212274262721400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358976064686400).

212274262721400 is an abundant number, since it is smaller than the sum of its proper divisors (505677866651400).

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

212274262721400 is a wasteful number, since it uses less digits than its factorization.

212274262721400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546990 (or 3546981 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 212274262721400 in words is "two hundred twelve trillion, two hundred seventy-four billion, two hundred sixty-two million, seven hundred twenty-one thousand, four hundred".