213242123040 has 48 divisors (see below), whose sum is σ = 671712689088. Its totient is φ = 56864566016.

The previous prime is 213242123023. The next prime is 213242123041. The reversal of 213242123040 is 40321242312.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213242123040.

It is not an unprimeable number, because it can be changed into a prime (213242123041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222126732 + ... + 222127691.

It is an arithmetic number, because the mean of its divisors is an integer number (13994014356).

Almost surely, 2^213242123040 is an apocalyptic number.

213242123040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213242123040 is an abundant number, since it is smaller than the sum of its proper divisors (458470566048).

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

213242123040 is a wasteful number, since it uses less digits than its factorization.

213242123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444254441 (or 444254433 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213242123040 its reverse (40321242312), we get a palindrome (253563365352).

The spelling of 213242123040 in words is "two hundred thirteen billion, two hundred forty-two million, one hundred twenty-three thousand, forty".