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12220110121120 = 2551146761924019
BaseRepresentation
bin1011000111010011011101…
…0100101010100010100000
31121021020020111002210022121
42301310313110222202200
53100203241142333440
641553501401514024
72400605502121156
oct261646724524240
947236214083277
1012220110121120
113991579649710
12145440a1a2914
136a8475161bc5
1430365684d3d6
15162d16b1434a
hexb1d3752a8a0

12220110121120 has 192 divisors, whose sum is σ = 31614301555200. Its totient is φ = 4426813301760.

The previous prime is 12220110121099. The next prime is 12220110121127. The reversal of 12220110121120 is 2112101102221.

It is a super-2 number, since 2×122201101211202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12220110121094 and 12220110121103.

It is not an unprimeable number, because it can be changed into a prime (12220110121127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508756471 + ... + 508780489.

It is an arithmetic number, because the mean of its divisors is an integer number (164657820600).

Almost surely, 212220110121120 is an apocalyptic number.

12220110121120 is a gapful number since it is divisible by the number (10) 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 12220110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807150777600).

12220110121120 is an abundant number, since it is smaller than the sum of its proper divisors (19394191434080).

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

12220110121120 is a wasteful number, since it uses less digits than its factorization.

12220110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25131 (or 25123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12220110121120 its reverse (2112101102221), we get a palindrome (14332211223341).

It can be divided in two parts, 122201101 and 21120, that added together give a palindrome (122222221).

The spelling of 12220110121120 in words is "twelve trillion, two hundred twenty billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".