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12112412032100 = 2252476077695521
BaseRepresentation
bin1011000001000010010000…
…0001000011110001100100
31120212221020211011000011202
42300100210001003301210
53041422204440011400
641432210522022032
72360043601351352
oct260204401036144
946787224130152
1012112412032100
11394a932905376
121437572347918
1369b270828c03
142dc35b2747d2
15160111b694d5
hexb0424043c64

12112412032100 has 144 divisors (see below), whose sum is σ = 26927229880320. Its totient is φ = 4727055974400.

The previous prime is 12112412032013. The next prime is 12112412032153. The reversal of 12112412032100 is 123021421121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2193877340 + ... + 2193882860.

Almost surely, 212112412032100 is an apocalyptic number.

12112412032100 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 12112412032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463614940160).

12112412032100 is an abundant number, since it is smaller than the sum of its proper divisors (14814817848220).

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

12112412032100 is a wasteful number, since it uses less digits than its factorization.

12112412032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12112412032100 its reverse (123021421121), we get a palindrome (12235433453221).

The spelling of 12112412032100 in words is "twelve trillion, one hundred twelve billion, four hundred twelve million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 607 769 940 1175 1214 1538 2350 2428 3035 3076 3845 4700 5521 6070 7690 11042 12140 15175 15380 19225 22084 27605 28529 30350 36143 38450 55210 57058 60700 72286 76900 110420 114116 138025 142645 144572 180715 259487 276050 285290 361430 466783 518974 552100 570580 713225 722860 903575 933566 1037948 1297435 1426450 1807150 1867132 2333915 2594870 2852900 3351247 3614300 4245649 4667830 5189740 6487175 6702494 8491298 9335660 11669575 12974350 13404988 16756235 16982596 21228245 21938801 23339150 25948700 33512470 42456490 43877602 46678300 67024940 83781175 84912980 87755204 106141225 109694005 157508609 167562350 199545503 212282450 219388010 315017218 335124700 399091006 424564900 438776020 548470025 630034436 787543045 798182012 997727515 1096940050 1575086090 1995455030 2193880100 2577108943 3150172180 3937715225 3990910060 4988637575 5154217886 7875430450 9977275150 10308435772 12885544715 15750860900 19954550300 25771089430 51542178860 64427723575 121124120321 128855447150 242248240642 257710894300 484496481284 605620601605 1211241203210 2422482406420 3028103008025 6056206016050 12112412032100