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122121220221001 = 8910318317275713
BaseRepresentation
bin11011110001000110001111…
…111100110110100001001001
3121000101200012210212010221101
4123301012033330312201021
5112001313224334033001
61111421414123541401
734502652452442241
oct3361061774664111
9530350183763841
10122121220221001
1135a03356137221
1211843ab168a861
13531ac9b8cc761
1422229acd3ab21
15e1b9be7baa01
hex6f118ff36849

122121220221001 has 16 divisors (see below), whose sum is σ = 124760451329280. Its totient is φ = 119511427368960.

The previous prime is 122121220220977. The next prime is 122121220221053. The reversal of 122121220221001 is 100122022121221.

It is a cyclic number.

It is not a de Polignac number, because 122121220221001 - 27 = 122121220220873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122121220221001.

It is not an unprimeable number, because it can be changed into a prime (122121220221101) 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, 13146921 + ... + 20422633.

It is an arithmetic number, because the mean of its divisors is an integer number (7797528208080).

Almost surely, 2122121220221001 is an apocalyptic number.

It is an amenable number.

122121220221001 is a deficient number, since it is larger than the sum of its proper divisors (2639231108279).

122121220221001 is a wasteful number, since it uses less digits than its factorization.

122121220221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277736.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122121220221001 its reverse (100122022121221), we get a palindrome (222243242342222).

The spelling of 122121220221001 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, one".

Divisors: 1 89 103 1831 9167 162959 188593 7275713 16784777 647538457 749398439 13321830503 66696461071 1185642914767 1372148541809 122121220221001