205212132000000 has 756 divisors, whose sum is σ = 740884306559488. Its totient is φ = 54627264000000.

The previous prime is 205212131999989. The next prime is 205212132000011. The reversal of 205212132000000 is 231212502.

It is an interprime number because it is at equal distance from previous prime (205212131999989) and next prime (205212132000011).

It is a super-2 number, since 2×205212132000000² (a number of 29 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 83 ways as a sum of consecutive naturals, for example, 21851995305 + ... + 21852004695.

Almost surely, 2^{205212132000000} is an apocalyptic number.

205212132000000 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 205212132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370442153279744).

205212132000000 is an abundant number, since it is smaller than the sum of its proper divisors (535672174559488).

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

205212132000000 is an frugal number, since it uses more digits than its factorization.

205212132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 205212132000000 its reverse (231212502), we get a palindrome (205212363212502).

The spelling of 205212132000000 in words is "two hundred five trillion, two hundred twelve billion, one hundred thirty-two million", and thus it is an aban number.