213122298240 has 192 divisors, whose sum is σ = 767935715040. Its totient is φ = 54361595904.

The previous prime is 213122298211. The next prime is 213122298313. The reversal of 213122298240 is 42892221312.

It is a happy number.

213122298240 is a `hidden beast` number, since 2 + 1 + 3 + 122 + 298 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×213122298240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213122298195 and 213122298204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671877 + ... + 936836.

Almost surely, 2^213122298240 is an apocalyptic number.

213122298240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213122298240 is an abundant number, since it is smaller than the sum of its proper divisors (554813416800).

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

213122298240 is a wasteful number, since it uses less digits than its factorization.

213122298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608761 (or 1608746 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 213122298240 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred ninety-eight thousand, two hundred forty".