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2212112112122 = 21129140959141
BaseRepresentation
bin100000001100001100001…
…010000001100111111010
321211110211220012120201202
4200030030022001213322
5242220401200041442
64412121423414202
7315551125465223
oct40141412014772
97743756176652
102212112112122
11783173688100
122b887ba54362
131307a800c8a3
14790d141424a
153c81e96ac32
hex2030c2819fa

2212112112122 has 12 divisors (see below), whose sum is σ = 3647242697658. Its totient is φ = 1005505505400.

The previous prime is 2212112112061. The next prime is 2212112112127.

2212112112122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 2080255251481 + 131856860641 = 1442309^2 + 363121^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212112112094 and 2212112112103.

It is not an unprimeable number, because it can be changed into a prime (2212112112127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4570479329 + ... + 4570479812.

Almost surely, 22212112112122 is an apocalyptic number.

2212112112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212112112122 is a deficient number, since it is larger than the sum of its proper divisors (1435130585536).

2212112112122 is a wasteful number, since it uses less digits than its factorization.

2212112112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9140959165 (or 9140959154 counting only the distinct ones).

The product of its digits is 128, while the sum is 20.

The spelling of 2212112112122 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 121 242 9140959141 18281918282 100550550551 201101101102 1106056056061 2212112112122