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12122240213331 = 331483302745691
BaseRepresentation
bin1011000001100110110111…
…0100100110000101010011
31120220212121202121100021000
42300121231310212011103
53042102321443311311
641440514050033043
72360542261461063
oct260315564460523
946825552540230
1012122240213331
1139540166353a6
121439455878783
1369c178a48271
142dca1066d3a3
151604d98d8056
hexb066dd26153

12122240213331 has 16 divisors (see below), whose sum is σ = 17970984277120. Its totient is φ = 8076044026440.

The previous prime is 12122240213323. The next prime is 12122240213387. The reversal of 12122240213331 is 13331204222121.

12122240213331 is a `hidden beast` number, since 1 + 2 + 1 + 222 + 402 + 1 + 3 + 3 + 31 = 666.

It is not a de Polignac number, because 12122240213331 - 23 = 12122240213323 is a prime.

It is a super-2 number, since 2×121222402133312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122240213295 and 12122240213304.

It is not an unprimeable number, because it can be changed into a prime (12122240613331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151332805 + ... + 151412886.

It is an arithmetic number, because the mean of its divisors is an integer number (1123186517320).

Almost surely, 212122240213331 is an apocalyptic number.

12122240213331 is a deficient number, since it is larger than the sum of its proper divisors (5848744063789).

12122240213331 is a wasteful number, since it uses less digits than its factorization.

12122240213331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302747183 (or 302747177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12122240213331 its reverse (13331204222121), we get a palindrome (25453444435452).

The spelling of 12122240213331 in words is "twelve trillion, one hundred twenty-two billion, two hundred forty million, two hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1483 4449 13347 40041 302745691 908237073 2724711219 8174133657 448971859753 1346915579259 4040746737777 12122240213331