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220212001012212 = 22321141109308340361
BaseRepresentation
bin110010000100100000011010…
…000110000111100111110100
31001212201001122222101211120100
4302010200122012013213310
5212330423134224342322
62100203555141034100
764245535446244266
oct6204403206074764
91055631588354510
10220212001012212
11641914267246a0
12208466896b5930
1395b4b96cbc231
143c54463b65b36
151a6d345c69dac
hexc8481a1879f4

220212001012212 has 288 divisors, whose sum is σ = 627988457416320. Its totient is φ = 64483527168000.

The previous prime is 220212001012177. The next prime is 220212001012243. The reversal of 220212001012212 is 212210100212022.

It is a happy number.

220212001012212 is a `hidden beast` number, since 220 + 2 + 120 + 0 + 101 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5456038912 + ... + 5456079272.

It is an arithmetic number, because the mean of its divisors is an integer number (2180515477140).

Almost surely, 2220212001012212 is an apocalyptic number.

220212001012212 is a gapful number since it is divisible by the number (22) 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 220212001012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313994228708160).

220212001012212 is an abundant number, since it is smaller than the sum of its proper divisors (407776456404108).

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

220212001012212 is a wasteful number, since it uses less digits than its factorization.

220212001012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43615 (or 43610 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220212001012212 its reverse (212210100212022), we get a palindrome (432422101224234).

The spelling of 220212001012212 in words is "two hundred twenty trillion, two hundred twelve billion, one million, twelve thousand, two hundred twelve".