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12103203200112 = 2432197751568109
BaseRepresentation
bin1011000000011111111100…
…1000001001110001110000
31120212001111001002212112100
42300013333020021301300
53041244330004400422
641424045040500400
72356266441516603
oct260077710116160
946761431085470
1012103203200112
113946a37749622
12143582231a700
1369a433a1b5bb
142dbb2621c33a
1515ec7348b7ac
hexb01ff209c70

12103203200112 has 120 divisors (see below), whose sum is σ = 34089490543680. Its totient is φ = 4008570048000.

The previous prime is 12103203200107. The next prime is 12103203200129. The reversal of 12103203200112 is 21100230230121.

12103203200112 is a `hidden beast` number, since 1 + 2 + 10 + 320 + 320 + 0 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21020314 + ... + 21588422.

It is an arithmetic number, because the mean of its divisors is an integer number (284079087864).

Almost surely, 212103203200112 is an apocalyptic number.

12103203200112 is a gapful number since it is divisible by the number (12) 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 12103203200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044745271840).

12103203200112 is an abundant number, since it is smaller than the sum of its proper divisors (21986287343568).

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

12103203200112 is a wasteful number, since it uses less digits than its factorization.

12103203200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569071 (or 569062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12103203200112 its reverse (21100230230121), we get a palindrome (33203433430233).

The spelling of 12103203200112 in words is "twelve trillion, one hundred three billion, two hundred three million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 751 788 1182 1502 1576 1773 2253 2364 3004 3152 3546 4506 4728 6008 6759 7092 9012 9456 12016 13518 14184 18024 27036 28368 36048 54072 108144 147947 295894 443841 568109 591788 887682 1136218 1183576 1331523 1704327 1775364 2272436 2367152 2663046 3408654 3550728 4544872 5112981 5326092 6817308 7101456 9089744 10225962 10652184 13634616 20451924 21304368 27269232 40903848 81807696 111917473 223834946 335752419 426649859 447669892 671504838 853299718 895339784 1007257257 1279949577 1343009676 1706599436 1790679568 2014514514 2559899154 2686019352 3413198872 3839848731 4029029028 5119798308 5372038704 6826397744 7679697462 8058058056 10239596616 15359394924 16116116112 20479193232 30718789848 61437579696 84050022223 168100044446 252150066669 336200088892 504300133338 672400177784 756450200007 1008600266676 1344800355568 1512900400014 2017200533352 3025800800028 4034401066704 6051601600056 12103203200112