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12220112100000 = 25355737157273
BaseRepresentation
bin1011000111010011011101…
…1100001101101010100000
31121021020020121211022211110
42301310313130031222200
53100203242144200000
641553501512143320
72400605525002410
oct261646734155240
947236217738743
1012220112100000
11399157a780452
12145440a997b40
136a84756a583c
14303656c06640
15162d16da5850
hexb1d3770daa0

12220112100000 has 576 divisors, whose sum is σ = 47061232388352. Its totient is φ = 2717660160000.

The previous prime is 12220112099939. The next prime is 12220112100017. The reversal of 12220112100000 is 121102221.

12220112100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122201121000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 77621364 + ... + 77778636.

It is an arithmetic number, because the mean of its divisors is an integer number (81703528452).

Almost surely, 212220112100000 is an apocalyptic number.

12220112100000 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 12220112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23530616194176).

12220112100000 is an abundant number, since it is smaller than the sum of its proper divisors (34841120288352).

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

12220112100000 is an equidigital number, since it uses as much as digits as its factorization.

12220112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157355 (or 157327 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12220112100000 its reverse (121102221), we get a palindrome (12220233202221).

The spelling of 12220112100000 in words is "twelve trillion, two hundred twenty billion, one hundred twelve million, one hundred thousand".