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120121232231 = 721113101169733
BaseRepresentation
bin110111111011111001…
…0001000101101100111
3102111001110021211212002
41233313302020231213
53432002013412411
6131103302515515
711451500425100
oct1576762105547
9374043254762
10120121232231
1146a41338750
121b344435b9b
13b434353110
145b574a33a7
1531d095133b
hex1bf7c88b67

120121232231 has 48 divisors (see below), whose sum is σ = 165788023968. Its totient is φ = 85544928000.

The previous prime is 120121232221. The next prime is 120121232249. The reversal of 120121232231 is 132232121021.

It is not a de Polignac number, because 120121232231 - 222 = 120117037927 is a prime.

It is a super-2 number, since 2×1201212322312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121232221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622841 + ... + 792573.

It is an arithmetic number, because the mean of its divisors is an integer number (3453917166).

Almost surely, 2120121232231 is an apocalyptic number.

120121232231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120121232231 is a deficient number, since it is larger than the sum of its proper divisors (45666791737).

120121232231 is a wasteful number, since it uses less digits than its factorization.

120121232231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169872 (or 169865 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 120121232231 its reverse (132232121021), we get a palindrome (252353353252).

The spelling of 120121232231 in words is "one hundred twenty billion, one hundred twenty-one million, two hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 101 143 539 637 707 1001 1111 1313 4949 7007 7777 9191 14443 54439 64337 101101 169733 707707 1188131 1867063 2206529 8316917 13069441 15445703 17143033 24271819 91486087 108119921 120001231 169902733 188573363 222859429 840008617 1189319131 1320013541 1560016003 2451453719 9240094787 10920112021 17160176033 120121232231