212123040 has 48 divisors (see below), whose sum is σ = 668189088. Its totient is φ = 56566016.

The previous prime is 212123039. The next prime is 212123057. The reversal of 212123040 is 40321212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 220482 + ... + 221441.

It is an arithmetic number, because the mean of its divisors is an integer number (13920606).

Almost surely, 2^212123040 is an apocalyptic number.

212123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212123040 is an abundant number, since it is smaller than the sum of its proper divisors (456066048).

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

212123040 is a wasteful number, since it uses less digits than its factorization.

212123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441941 (or 441933 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212123040 is about 14564.4443766317. Note that the first 3 decimals coincide. The cubic root of 212123040 is about 596.3885279526.

Adding to 212123040 its reverse (40321212), we get a palindrome (252444252).

The spelling of 212123040 in words is "two hundred twelve million, one hundred twenty-three thousand, forty".