220612228536240 has 320 divisors, whose sum is σ = 799932401049600. Its totient is φ = 55730005917696.

The previous prime is 220612228536187. The next prime is 220612228536251. The reversal of 220612228536240 is 42635822216022.

220612228536240 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 1 + 2 + 2 + 285 + 362 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664394737 + ... + 664726703.

It is an arithmetic number, because the mean of its divisors is an integer number (2499788753280).

Almost surely, 2^{220612228536240} is an apocalyptic number.

220612228536240 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 220612228536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399966200524800).

220612228536240 is an abundant number, since it is smaller than the sum of its proper divisors (579320172513360).

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

220612228536240 is a wasteful number, since it uses less digits than its factorization.

220612228536240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348201 (or 348189 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 220612228536240 in words is "two hundred twenty trillion, six hundred twelve billion, two hundred twenty-eight million, five hundred thirty-six thousand, two hundred forty".