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12212014314042 = 233892540993407
BaseRepresentation
bin1011000110110101010011…
…0001100111001000111010
31121020110100021102011211000
42301231110301213020322
53100040201131022132
641550042200345430
72400201045651114
oct261552461471072
947213307364730
1012212014314042
1139890a4793a64
12145292aa75276
136a7784b1590a
143030c95663b4
151629e0ee187c
hexb1b54c6723a

12212014314042 has 32 divisors (see below), whose sum is σ = 27442728806400. Its totient is φ = 4024933555104.

The previous prime is 12212014313927. The next prime is 12212014314067. The reversal of 12212014314042 is 24041341021221.

12212014314042 is a `hidden beast` number, since 1 + 2 + 21 + 201 + 4 + 31 + 404 + 2 = 666.

12212014314042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12212014313997 and 12212014314015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270491898 + ... + 1270501509.

It is an arithmetic number, because the mean of its divisors is an integer number (857585275200).

Almost surely, 212212014314042 is an apocalyptic number.

12212014314042 is an abundant number, since it is smaller than the sum of its proper divisors (15230714492358).

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

12212014314042 is a wasteful number, since it uses less digits than its factorization.

12212014314042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540993507 (or 2540993501 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12212014314042 its reverse (24041341021221), we get a palindrome (36253355335263).

The spelling of 12212014314042 in words is "twelve trillion, two hundred twelve billion, fourteen million, three hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 2403 4806 2540993407 5081986814 7622980221 15245960442 22868940663 45737881326 68606821989 137213643978 226148413223 452296826446 678445239669 1356890479338 2035335719007 4070671438014 6106007157021 12212014314042