212120040 has 64 divisors (see below), whose sum is σ = 694215360. Its totient is φ = 51422720.

The previous prime is 212120039. The next prime is 212120063. The reversal of 212120040 is 40021212.

It is a super-2 number, since 2×212120040² = 89989822739203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212119998 and 212120025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79029 + ... + 81668.

It is an arithmetic number, because the mean of its divisors is an integer number (10847115).

Almost surely, 2^212120040 is an apocalyptic number.

212120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120040 is an abundant number, since it is smaller than the sum of its proper divisors (482095320).

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

212120040 is a wasteful number, since it uses less digits than its factorization.

212120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160722 (or 160718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212120040 is about 14564.3413857270. The cubic root of 212120040 is about 596.3857164177.

Adding to 212120040 its reverse (40021212), we get a palindrome (252141252).

The spelling of 212120040 in words is "two hundred twelve million, one hundred twenty thousand, forty".