Search a number
-
+
12111202011120 = 2435122694113077
BaseRepresentation
bin1011000000111101101111…
…1001001100011111110000
31120212211010111021120102220
42300033123321030133300
53041412220203323440
641431450455041040
72360001606345402
oct260173371143760
946784114246386
1012111202011120
11394a371884733
121437295070180
1369b109c36474
142dc284696b72
151600907ee8d0
hexb03dbe4c7f0

12111202011120 has 80 divisors (see below), whose sum is σ = 37547795492640. Its totient is φ = 3229389847552.

The previous prime is 12111202011079. The next prime is 12111202011163. The reversal of 12111202011120 is 2111020211121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12111202011120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888022 + ... + 5001098.

It is an arithmetic number, because the mean of its divisors is an integer number (469347443658).

Almost surely, 212111202011120 is an apocalyptic number.

12111202011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111202011120 is an abundant number, since it is smaller than the sum of its proper divisors (25436593481520).

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

12111202011120 is a wasteful number, since it uses less digits than its factorization.

12111202011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125362 (or 4125356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12111202011120 its reverse (2111020211121), we get a palindrome (14222222222241).

The spelling of 12111202011120 in words is "twelve trillion, one hundred eleven billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12269 24538 36807 49076 61345 73614 98152 122690 147228 184035 196304 245380 294456 368070 490760 588912 736140 981520 1472280 2944560 4113077 8226154 12339231 16452308 20565385 24678462 32904616 41130770 49356924 61696155 65809232 82261540 98713848 123392310 164523080 197427696 246784620 329046160 493569240 987138480 50463341713 100926683426 151390025139 201853366852 252316708565 302780050278 403706733704 504633417130 605560100556 756950125695 807413467408 1009266834260 1211120201112 1513900251390 2018533668520 2422240402224 3027800502780 4037067337040 6055601005560 12111202011120