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12220233221112 = 23375911356319379
BaseRepresentation
bin1011000111010011111010…
…1010010000001111111000
31121021020120001201220202120
42301310332222100033320
53100204014201033422
641553521520201240
72400611525343240
oct261647652201770
947236501656676
1012220233221112
113991632088544
121454443469220
136a8494802b37
14303668d34b20
15162d2282d45c
hexb1d3ea903f8

12220233221112 has 256 divisors, whose sum is σ = 35886426624000. Its totient is φ = 3395725068288.

The previous prime is 12220233221093. The next prime is 12220233221113. The reversal of 12220233221112 is 21112233202221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220233221113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630581839 + ... + 630601217.

It is an arithmetic number, because the mean of its divisors is an integer number (140181354000).

Almost surely, 212220233221112 is an apocalyptic number.

12220233221112 is a gapful number since it is divisible by the number (12) 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 12220233221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943213312000).

12220233221112 is an abundant number, since it is smaller than the sum of its proper divisors (23666193402888).

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

12220233221112 is a wasteful number, since it uses less digits than its factorization.

12220233221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20130 (or 20126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12220233221112 its reverse (21112233202221), we get a palindrome (33332466423333).

The spelling of 12220233221112 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-three million, two hundred twenty-one thousand, one hundred twelve".