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12423120414000 = 243535413827209
BaseRepresentation
bin1011010011000111101110…
…1011011110010100110000
31121222122020121210012022220
42310301323223132110300
53112020022311222000
642231034105001040
72421353335130232
oct264617353362460
947878217705286
1012423120414000
113a5a68567046a
121487825a83180
136c165902a56a
1430d3d4656252
151682494b21a0
hexb4c7bade530

12423120414000 has 160 divisors (see below), whose sum is σ = 40126184230080. Its totient is φ = 3306707712000.

The previous prime is 12423120413953. The next prime is 12423120414011. The reversal of 12423120414000 is 41402132421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332396 + ... + 5159604.

It is an arithmetic number, because the mean of its divisors is an integer number (250788651438).

Almost surely, 212423120414000 is an apocalyptic number.

12423120414000 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 12423120414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063092115040).

12423120414000 is an abundant number, since it is smaller than the sum of its proper divisors (27703063816080).

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

12423120414000 is a wasteful number, since it uses less digits than its factorization.

12423120414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827776 (or 3827760 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12423120414000 its reverse (41402132421), we get a palindrome (12464522546421).

The spelling of 12423120414000 in words is "twelve trillion, four hundred twenty-three billion, one hundred twenty million, four hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 541 600 750 1000 1082 1200 1500 1623 2000 2164 2705 3000 3246 4328 5410 6000 6492 8115 8656 10820 12984 13525 16230 21640 25968 27050 32460 40575 43280 54100 64920 67625 81150 108200 129840 135250 162300 202875 216400 270500 324600 405750 541000 649200 811500 1082000 1623000 3246000 3827209 7654418 11481627 15308836 19136045 22963254 30617672 38272090 45926508 57408135 61235344 76544180 91853016 95680225 114816270 153088360 183706032 191360450 229632540 287040675 306176720 382720900 459265080 478401125 574081350 765441800 918530160 956802250 1148162700 1435203375 1530883600 1913604500 2070520069 2296325400 2870406750 3827209000 4141040138 4592650800 5740813500 6211560207 7654418000 8282080276 10352600345 11481627000 12423120414 16564160552 20705200690 22963254000 24846240828 31057801035 33128321104 41410401380 49692481656 51763001725 62115602070 82820802760 99384963312 103526003450 124231204140 155289005175 165641605520 207052006900 248462408280 258815008625 310578010350 414104013800 496924816560 517630017250 621156020700 776445025875 828208027600 1035260034500 1242312041400 1552890051750 2070520069000 2484624082800 3105780103500 4141040138000 6211560207000 12423120414000