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220112012122002 = 2327111378531555613
BaseRepresentation
bin110010000011000011010010…
…010010110001011110010010
31001212100111120120122221002100
4302003003102102301132102
5212322303400100401002
62100050021252101230
764235365565556660
oct6203032222613622
91055314516587070
10220112012122002
1164152a86597540
122082b223604816
1395a862089c540
143c4d69a397c30
151a6a9429c711c
hexc830d24b1792

220112012122002 has 192 divisors, whose sum is σ = 640407804132096. Its totient is φ = 52767354631680.

The previous prime is 220112012122001. The next prime is 220112012122003. The reversal of 220112012122002 is 200221210211022.

It is a happy number.

220112012122002 is a `hidden beast` number, since 2 + 201 + 120 + 121 + 220 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (220112012122001) and next prime (220112012122003).

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

It is not an unprimeable number, because it can be changed into a prime (220112012122001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140717548 + ... + 142273160.

It is an arithmetic number, because the mean of its divisors is an integer number (3335457313188).

Almost surely, 2220112012122002 is an apocalyptic number.

220112012122002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220112012122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320203902066048).

220112012122002 is an abundant number, since it is smaller than the sum of its proper divisors (420295792010094).

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

220112012122002 is a wasteful number, since it uses less digits than its factorization.

220112012122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563505 (or 1563502 counting only the distinct ones).

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

Adding to 220112012122002 its reverse (200221210211022), we get a palindrome (420333222333024).

The spelling of 220112012122002 in words is "two hundred twenty trillion, one hundred twelve billion, twelve million, one hundred twenty-two thousand, two".