220213402121408 has 112 divisors (see below), whose sum is σ = 443605476394080. Its totient is φ = 108451758342144.

The previous prime is 220213402121381. The next prime is 220213402121431. The reversal of 220213402121408 is 804121204312022.

It is a super-3 number, since 3×220213402121408³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010347216 + ... + 2010456752.

It is an arithmetic number, because the mean of its divisors is an integer number (3960763182090).

Almost surely, 2^{220213402121408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220213402121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221802738197040).

220213402121408 is an abundant number, since it is smaller than the sum of its proper divisors (223392074272672).

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

220213402121408 is a wasteful number, since it uses less digits than its factorization.

220213402121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111394 (or 111384 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 220213402121408 in words is "two hundred twenty trillion, two hundred thirteen billion, four hundred two million, one hundred twenty-one thousand, four hundred eight".