Search a number
-
+
12001234304120 = 2357912157312401
BaseRepresentation
bin1010111010100100000101…
…0011101011110001111000
31120111022021122122020201212
42232221001103223301320
53033112011440212440
641305142501302252
72346026526303545
oct256510123536170
946438248566655
1012001234304120
113907770990856
121419b05104988
13690933335159
142d6c118bbbcc
1515c2a6485465
hexaea414ebc78

12001234304120 has 64 divisors (see below), whose sum is σ = 27346921315200. Its totient is φ = 4739322931200.

The previous prime is 12001234304107. The next prime is 12001234304131. The reversal of 12001234304120 is 2140343210021.

12001234304120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 38259920 + ... + 38572320.

It is an arithmetic number, because the mean of its divisors is an integer number (427295645550).

Almost surely, 212001234304120 is an apocalyptic number.

12001234304120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001234304120 is an abundant number, since it is smaller than the sum of its proper divisors (15345687011080).

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

12001234304120 is a wasteful number, since it uses less digits than its factorization.

12001234304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324648 (or 324644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12001234304120 its reverse (2140343210021), we get a palindrome (14141577514141).

The spelling of 12001234304120 in words is "twelve trillion, one billion, two hundred thirty-four million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 12157 24314 48628 60785 97256 121570 243140 312401 486280 624802 960403 1249604 1562005 1920806 2499208 3124010 3841612 4802015 6248020 7683224 9604030 12496040 19208060 24679679 38416120 49359358 98718716 123398395 197437432 246796790 493593580 987187160 3797858957 7595717914 15191435828 18989294785 30382871656 37978589570 75957179140 151914358280 300030857603 600061715206 1200123430412 1500154288015 2400246860824 3000308576030 6000617152060 12001234304120