Search a number
-
+
1202112121121 = 17122957536597
BaseRepresentation
bin10001011111100011011…
…101110100100100100001
311020220212021000222110122
4101133203131310210201
5124143411200333441
62320124230410025
7152564313302402
oct21374335644441
94226767028418
101202112121121
114238a3a53a3a
12174b88b00915
138948805aa12
144227ac4b9a9
152140a34934b
hex117e3774921

1202112121121 has 8 divisors (see below), whose sum is σ = 1273860279720. Its totient is φ = 1130479038208.

The previous prime is 1202112121117. The next prime is 1202112121123. The reversal of 1202112121121 is 1211212112021.

It can be written as a sum of positive squares in 4 ways, for example, as 725156136721 + 476955984400 = 851561^2 + 690620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1202112121121 - 22 = 1202112121117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1202112121121.

It is not an unprimeable number, because it can be changed into a prime (1202112121123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28747406 + ... + 28789191.

It is an arithmetic number, because the mean of its divisors is an integer number (159232534965).

Almost surely, 21202112121121 is an apocalyptic number.

It is an amenable number.

1202112121121 is a deficient number, since it is larger than the sum of its proper divisors (71748158599).

1202112121121 is a wasteful number, since it uses less digits than its factorization.

1202112121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57537843.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1202112121121 its reverse (1211212112021), we get a palindrome (2413324233142).

The spelling of 1202112121121 in words is "one trillion, two hundred two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 17 1229 20893 57536597 978122149 70712477713 1202112121121