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12222220001220 = 22335101227987209
BaseRepresentation
bin1011000111011011010100…
…0101001101111111000100
31121021102200112012210201000
42301312311011031333010
53100222101310014340
641554451011533300
72401012001605125
oct261666505157704
947242615183630
1012222220001220
113992461615879
1214548b88ba230
136a87202cbb78
143037b6b4c04c
15162ddbe7dd30
hexb1db514dfc4

12222220001220 has 192 divisors, whose sum is σ = 38570373676800. Its totient is φ = 3212769715200.

The previous prime is 12222220001197. The next prime is 12222220001293. The reversal of 12222220001220 is 2210002222221.

12222220001220 is a `hidden beast` number, since 1 + 2 + 222 + 220 + 0 + 0 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12222220001193 and 12222220001202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11886976 + ... + 12874184.

It is an arithmetic number, because the mean of its divisors is an integer number (200887362900).

Almost surely, 212222220001220 is an apocalyptic number.

12222220001220 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 12222220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285186838400).

12222220001220 is an abundant number, since it is smaller than the sum of its proper divisors (26348153675580).

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

12222220001220 is a wasteful number, since it uses less digits than its factorization.

12222220001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987555 (or 987547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12222220001220 its reverse (2210002222221), we get a palindrome (14432222223441).

The spelling of 12222220001220 in words is "twelve trillion, two hundred twenty-two billion, two hundred twenty million, one thousand, two hundred twenty".