212001312400 has 120 divisors (see below), whose sum is σ = 526615122600. Its totient is φ = 81954017280.

The previous prime is 212001312343. The next prime is 212001312449. The reversal of 212001312400 is 4213100212.

It can be written as a sum of positive squares in 12 ways, for example, as 22313189376 + 189688123024 = 149376^2 + 435532^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157132 + ... + 2253268.

It is an arithmetic number, because the mean of its divisors is an integer number (4388459355).

Almost surely, 2^212001312400 is an apocalyptic number.

212001312400 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 212001312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263307561300).

212001312400 is an abundant number, since it is smaller than the sum of its proper divisors (314613810200).

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

212001312400 is a wasteful number, since it uses less digits than its factorization.

212001312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96341 (or 96330 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212001312400 its reverse (4213100212), we get a palindrome (216214412612).

The spelling of 212001312400 in words is "two hundred twelve billion, one million, three hundred twelve thousand, four hundred".