212400354050144 has 96 divisors (see below), whose sum is σ = 459928016182656. Its totient is φ = 95941634457600.

The previous prime is 212400354050069. The next prime is 212400354050149. The reversal of 212400354050144 is 441050453004212.

It is a happy number.

It is a super-2 number, since 2×212400354050144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212400354050149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572629544 + ... + 573000344.

It is an arithmetic number, because the mean of its divisors is an integer number (4790916835236).

Almost surely, 2^{212400354050144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212400354050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229964008091328).

212400354050144 is an abundant number, since it is smaller than the sum of its proper divisors (247527662132512).

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

212400354050144 is a wasteful number, since it uses less digits than its factorization.

212400354050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400168 (or 400160 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 212400354050144 in words is "two hundred twelve trillion, four hundred billion, three hundred fifty-four million, fifty thousand, one hundred forty-four".