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12210011103121 = 132172597418597
BaseRepresentation
bin1011000110101101110101…
…0111111101111110010001
31121020021011200000112000221
42301223131113331332101
53100022100320244441
641545111320513041
72400100312644046
oct261533527757621
947207150015027
1012210011103121
113988266a53a47
12145247001b781
136a7525ab5c00
14302d794b31cd
151629251e78d1
hexb1add5fdf91

12210011103121 has 12 divisors (see below), whose sum is σ = 13221599501532. Its totient is φ = 11270687253696.

The previous prime is 12210011103107. The next prime is 12210011103181. The reversal of 12210011103121 is 12130111001221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3322457663121 + 8887553440000 = 1822761^2 + 2981200^2 .

It is not a de Polignac number, because 12210011103121 - 25 = 12210011103089 is a prime.

It is a super-2 number, since 2×122100111031212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12210011103095 and 12210011103104.

It is not an unprimeable number, because it can be changed into a prime (12210011103181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28959595 + ... + 29378191.

It is an arithmetic number, because the mean of its divisors is an integer number (1101799958461).

Almost surely, 212210011103121 is an apocalyptic number.

It is an amenable number.

12210011103121 is a deficient number, since it is larger than the sum of its proper divisors (1011588398411).

12210011103121 is a wasteful number, since it uses less digits than its factorization.

12210011103121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591220 (or 591207 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12210011103121 its reverse (12130111001221), we get a palindrome (24340122104342).

The spelling of 12210011103121 in words is "twelve trillion, two hundred ten billion, eleven million, one hundred three thousand, one hundred twenty-one".

Divisors: 1 13 169 172597 418597 2243761 5441761 29168893 70742893 72248586409 939231623317 12210011103121