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12220112001020 = 22571141617313679
BaseRepresentation
bin1011000111010011011101…
…1011110101011111111100
31121021020020121122022001112
42301310313123311133330
53100203242133013040
641553501510101152
72400605524111010
oct261646733653774
947236217568045
1012220112001020
11399157a713050
12145440a94a7b8
136a847566c781
14303656bbc540
15162d16d86365
hexb1d376f57fc

12220112001020 has 192 divisors, whose sum is σ = 32828052418560. Its totient is φ = 3709932441600.

The previous prime is 12220112001011. The next prime is 12220112001037. The reversal of 12220112001020 is 2010021102221.

It is a super-2 number, since 2×122201120010202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12220112000986 and 12220112001004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38800541 + ... + 39114219.

It is an arithmetic number, because the mean of its divisors is an integer number (170979439680).

Almost surely, 212220112001020 is an apocalyptic number.

12220112001020 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 12220112001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414026209280).

12220112001020 is an abundant number, since it is smaller than the sum of its proper divisors (20607940417540).

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

12220112001020 is a wasteful number, since it uses less digits than its factorization.

12220112001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314364 (or 314362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12220112001020 its reverse (2010021102221), we get a palindrome (14230133103241).

The spelling of 12220112001020 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, one thousand, twenty".