212000155040 has 96 divisors (see below), whose sum is σ = 516247848144. Its totient is φ = 82209669120.

The previous prime is 212000155033. The next prime is 212000155097. The reversal of 212000155040 is 40551000212.

It can be written as a sum of positive squares in 8 ways, for example, as 168451143184 + 43549011856 = 410428^2 + 208684^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1575200 + ... + 1704480.

Almost surely, 2^212000155040 is an apocalyptic number.

212000155040 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 212000155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258123924072).

212000155040 is an abundant number, since it is smaller than the sum of its proper divisors (304247693104).

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

212000155040 is a wasteful number, since it uses less digits than its factorization.

212000155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129610 (or 129602 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 212000155040 its reverse (40551000212), we get a palindrome (252551155252).

The spelling of 212000155040 in words is "two hundred twelve billion, one hundred fifty-five thousand, forty".