Search a number
-
+
12121110100992 = 21033945673861
BaseRepresentation
bin1011000001100010101001…
…1101100011110000000000
31120220202201000002200120110
42300120222131203300000
53042043013141212432
641440205555511320
72360502256620654
oct260305235436000
946822630080513
1012121110100992
113953596723262
12143919b2b8540
1369c028883439
142dc944532a64
151604705a4dcc
hexb062a763c00

12121110100992 has 44 divisors (see below), whose sum is σ = 32307177582056. Its totient is φ = 4040370032640.

The previous prime is 12121110100963. The next prime is 12121110100997. The reversal of 12121110100992 is 29900101112121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121110100997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1972833859 + ... + 1972840002.

Almost surely, 212121110100992 is an apocalyptic number.

12121110100992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12121110100992 is an abundant number, since it is smaller than the sum of its proper divisors (20186067481064).

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

12121110100992 is an equidigital number, since it uses as much as digits as its factorization.

12121110100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945673884 (or 3945673866 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 12121110100992 in words is "twelve trillion, one hundred twenty-one billion, one hundred ten million, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3945673861 7891347722 11837021583 15782695444 23674043166 31565390888 47348086332 63130781776 94696172664 126261563552 189392345328 252523127104 378784690656 505046254208 757569381312 1010092508416 1515138762624 2020185016832 3030277525248 4040370033664 6060555050496 12121110100992