Search a number
-
+
1121210122122 = 2321571709923203
BaseRepresentation
bin10000010100001101010…
…101001011111110001010
310222012001001122121110100
4100110031111023332022
5121332214242401442
62215024332030230
7144001426535166
oct20241525137612
93865031577410
101121210122122
113a255897a742
1216136b002376
13819640ac6ac
143c3a4395ca6
151e272aa684c
hex1050d54bf8a

1121210122122 has 48 divisors (see below), whose sum is σ = 2445010120800. Its totient is φ = 371318497056.

The previous prime is 1121210122091. The next prime is 1121210122127. The reversal of 1121210122122 is 2212210121211.

It is a super-2 number, since 2×11212101221222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121210122095 and 1121210122104.

It is not an unprimeable number, because it can be changed into a prime (1121210122127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48310173 + ... + 48333375.

It is an arithmetic number, because the mean of its divisors is an integer number (50937710850).

Almost surely, 21121210122122 is an apocalyptic number.

1121210122122 is an abundant number, since it is smaller than the sum of its proper divisors (1323799998678).

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

1121210122122 is a wasteful number, since it uses less digits than its factorization.

1121210122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40467 (or 40464 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121210122122 its reverse (2212210121211), we get a palindrome (3333420243333).

The spelling of 1121210122122 in words is "one trillion, one hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 17099 23203 34198 46406 51297 69609 102594 139218 153891 208827 307782 417654 2684543 3642871 5369086 7285742 8053629 10928613 16107258 21857226 24160887 32785839 48321774 65571678 396748097 793496194 1190244291 2380488582 3570732873 7141465746 62289451229 124578902458 186868353687 373736707374 560605061061 1121210122122