213812280000 has 420 divisors, whose sum is σ = 835458448968. Its totient is φ = 51832320000.

The previous prime is 213812279983. The next prime is 213812280053. The reversal of 213812280000 is 82218312.

213812280000 is a `hidden beast` number, since 2 + 1 + 381 + 2 + 280 + 0 + 0 + 0 = 666.

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, 3933004 + ... + 3986996.

Almost surely, 2^213812280000 is an apocalyptic number.

213812280000 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 213812280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417729224484).

213812280000 is an abundant number, since it is smaller than the sum of its proper divisors (621646168968).

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

213812280000 is a wasteful number, since it uses less digits than its factorization.

213812280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54042 (or 54014 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 213812280000 its reverse (82218312), we get a palindrome (213894498312).

It can be divided in two parts, 2138122 and 80000, that added together give a palindrome (2218122).

The spelling of 213812280000 in words is "two hundred thirteen billion, eight hundred twelve million, two hundred eighty thousand".