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12120421100 = 22521947135727
BaseRepresentation
bin10110100100110111…
…01111001011101100
31011021200201012001012
423102123233023230
5144310311433400
65322410404352
7606232610444
oct132233571354
934250635035
1012120421100
11515a730847
1224231306b8
1311b20a8308
1482da07124
154ae10ad35
hex2d26ef2ec

12120421100 has 72 divisors (see below), whose sum is σ = 28274856960. Its totient is φ = 4495245120.

The previous prime is 12120421097. The next prime is 12120421109. The reversal of 12120421100 is 112402121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12120421109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21437 + ... + 157163.

Almost surely, 212120421100 is an apocalyptic number.

12120421100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137428480).

12120421100 is an abundant number, since it is smaller than the sum of its proper divisors (16154435860).

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

12120421100 is a wasteful number, since it uses less digits than its factorization.

12120421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135807 (or 135800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12120421100 its reverse (112402121), we get a palindrome (12232823221).

The spelling of 12120421100 in words is "twelve billion, one hundred twenty million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 94 95 100 188 190 235 380 470 475 893 940 950 1175 1786 1900 2350 3572 4465 4700 8930 17860 22325 44650 89300 135727 271454 542908 678635 1357270 2578813 2714540 3393175 5157626 6379169 6786350 10315252 12758338 12894065 13572700 25516676 25788130 31895845 51576260 63791690 64470325 121204211 127583380 128940650 159479225 242408422 257881300 318958450 484816844 606021055 637916900 1212042110 2424084220 3030105275 6060210550 12120421100