Search a number
-
+
12220400402221 = 113972798351363
BaseRepresentation
bin1011000111010100100010…
…0111111111111100101101
31121021020222201022121010111
42301311020213333330231
53100204340000332341
641553550251340021
72400615625351564
oct261651047777455
947236881277114
1012220400402221
113991708495150
12145448b451611
136a84c033907b
14303683212bdb
15162d32353681
hexb1d489fff2d

12220400402221 has 8 divisors (see below), whose sum is σ = 13364926114464. Its totient is φ = 11081471393520.

The previous prime is 12220400402201. The next prime is 12220400402257.

12220400402221 is nontrivially palindromic in base 10.

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

It is a de Polignac number, because none of the positive numbers 2k-12220400402221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220400402192 and 12220400402201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220400402201) 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, 1399171315 + ... + 1399180048.

It is an arithmetic number, because the mean of its divisors is an integer number (1670615764308).

Almost surely, 212220400402221 is an apocalyptic number.

12220400402221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220400402221 is a deficient number, since it is larger than the sum of its proper divisors (1144525712243).

12220400402221 is a wasteful number, since it uses less digits than its factorization.

12220400402221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798351771.

The product of its (nonzero) digits is 1024, while the sum is 22.

Multiplying 12220400402221 by its sum of digits (22), we get a palindrome (268848808848862).

It can be divided in two parts, 12220400 and 402221, that added together give a palindrome (12622621).

The spelling of 12220400402221 in words is "twelve trillion, two hundred twenty billion, four hundred million, four hundred two thousand, two hundred twenty-one".

Divisors: 1 11 397 4367 2798351363 30781864993 1110945491111 12220400402221