220212000121000 has 64 divisors (see below), whose sum is σ = 515299727339280. Its totient is φ = 88084176620800.

The previous prime is 220212000120991. The next prime is 220212000121081. The reversal of 220212000121000 is 121000212022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5013721069956 + 215198279051044 = 2239134^2 + 14669638^2 .

It is a super-3 number, since 3×220212000121000³ (a number of 44 digits) contains 333 as substring.

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, 156432282 + ... + 157833718.

Almost surely, 2^{220212000121000} is an apocalyptic number.

220212000121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212000121000 is an abundant number, since it is smaller than the sum of its proper divisors (295087727218280).

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

220212000121000 is a wasteful number, since it uses less digits than its factorization.

220212000121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558591 (or 1558577 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220212000121000 its reverse (121000212022), we get a palindrome (220333000333022).

The spelling of 220212000121000 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred twenty-one thousand".