Search a number
-
+
2121121200999 = 323374120264263
BaseRepresentation
bin11110110111011100101…
…011001111101101100111
321111202222120202101002110
4132313130223033231213
5234223024011412444
64302232444412103
7306150234504033
oct36673453175547
97452876671073
102121121200999
117486206908a9
122a3107247033
13125036b13388
147493ca931c3
153a296605cb9
hex1eddcacfb67

2121121200999 has 32 divisors (see below), whose sum is σ = 3104809473024. Its totient is φ = 1283943640320.

The previous prime is 2121121200973. The next prime is 2121121201013. The reversal of 2121121200999 is 9990021211212.

It is a happy number.

It is not a de Polignac number, because 2121121200999 - 219 = 2121120676711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121121200949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10027459 + ... + 10236804.

It is an arithmetic number, because the mean of its divisors is an integer number (97025296032).

Almost surely, 22121121200999 is an apocalyptic number.

2121121200999 is a deficient number, since it is larger than the sum of its proper divisors (983688272025).

2121121200999 is a wasteful number, since it uses less digits than its factorization.

2121121200999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20264367.

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 2121121200999 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, nine hundred ninety-nine".

Divisors: 1 3 23 37 41 69 111 123 851 943 1517 2553 2829 4551 34891 104673 20264263 60792789 466078049 749777731 830834783 1398234147 2249333193 2492504349 17244887813 19109200009 30740886971 51734663439 57327600027 92222660913 707040400333 2121121200999