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12331204504050 = 23522812083140449
BaseRepresentation
bin1011001101110001010100…
…0100000110100111110010
31121122211222211210011211210
42303130111010012213302
53104013301323112200
642120513244020550
72411620512601335
oct263342504064762
947584884704753
1012331204504050
113a246a8517923
121471a53531756
136b5a9b2c3b73
14308b9510c61c
15165b69d33650
hexb37151069f2

12331204504050 has 96 divisors (see below), whose sum is σ = 30705170011200. Its totient is φ = 3275022643200.

The previous prime is 12331204504009. The next prime is 12331204504063. The reversal of 12331204504050 is 5040540213321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12331204503999 and 12331204504017.

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, 87728226 + ... + 87868674.

It is an arithmetic number, because the mean of its divisors is an integer number (319845520950).

Almost surely, 212331204504050 is an apocalyptic number.

12331204504050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12331204504050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15352585005600).

12331204504050 is an abundant number, since it is smaller than the sum of its proper divisors (18373965507150).

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

12331204504050 is a wasteful number, since it uses less digits than its factorization.

12331204504050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142828 (or 142823 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 12331204504050 its reverse (5040540213321), we get a palindrome (17371744717371).

The spelling of 12331204504050 in words is "twelve trillion, three hundred thirty-one billion, two hundred four million, five hundred four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 281 562 843 1405 1686 2083 2810 4166 4215 6249 7025 8430 10415 12498 14050 20830 21075 31245 42150 52075 62490 104150 140449 156225 280898 312450 421347 585323 702245 842694 1170646 1404490 1755969 2106735 2926615 3511225 3511938 4213470 5853230 7022450 8779845 10533675 14633075 17559690 21067350 29266150 39466169 43899225 78932338 87798450 118398507 197330845 236797014 292555267 394661690 585110534 591992535 877665801 986654225 1183985070 1462776335 1755331602 1973308450 2925552670 2959962675 4388329005 5919925350 7313881675 8776658010 14627763350 21941645025 43883290050 82208030027 164416060054 246624090081 411040150135 493248180162 822080300270 1233120450405 2055200750675 2466240900810 4110401501350 6165602252025 12331204504050