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212220100111122 = 23240130419668369
BaseRepresentation
bin110000010000001101010111…
…101011100110101100010010
31000211102001011122220021202100
4300100031113223212230102
5210304003231112023442
62031204322412501230
762462252626365225
oct6020152753465422
91024361148807670
10212220100111122
1161690047a45334
121b97581617a816
1391553673277bc
143a59716dc95bc
1519804e9d7784c
hexc10357ae6b12

212220100111122 has 48 divisors (see below), whose sum is σ = 461108504184120. Its totient is φ = 70540412928000.

The previous prime is 212220100111099. The next prime is 212220100111127. The reversal of 212220100111122 is 221111001022212.

212220100111122 is a `hidden beast` number, since 212 + 220 + 1 + 0 + 0 + 111 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212138613270441 + 81486840681 = 14564979^2 + 285459^2 .

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 = 212220100111095 and 212220100111104.

It is not an unprimeable number, because it can be changed into a prime (212220100111127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17115754 + ... + 26784122.

Almost surely, 2212220100111122 is an apocalyptic number.

212220100111122 is an abundant number, since it is smaller than the sum of its proper divisors (248888404072998).

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

212220100111122 is a wasteful number, since it uses less digits than its factorization.

212220100111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671819 (or 9671816 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212220100111122 its reverse (221111001022212), we get a palindrome (433331101133334).

The spelling of 212220100111122 in words is "two hundred twelve trillion, two hundred twenty billion, one hundred million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 401 802 1203 2406 3041 3609 6082 7218 9123 18246 27369 54738 1219441 2438882 3658323 7316646 9668369 10974969 19336738 21949938 29005107 58010214 87015321 174030642 3877015969 7754031938 11631047907 23262095814 29401510129 34893143721 58803020258 69786287442 88204530387 176409060774 264613591161 529227182322 11790005561729 23580011123458 35370016685187 70740033370374 106110050055561 212220100111122