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112342012000 = 255346160923
BaseRepresentation
bin110100010100000011…
…0110001000001100000
3101201222022022111212021
41220220012301001200
53320034023341000
6123335331111224
711054640226531
oct1505006610140
9351868274767
10112342012000
114370a156419
1219933142514
13a79479161a
14561a26a688
152dc7a1711a
hex1a281b1060

112342012000 has 96 divisors (see below), whose sum is σ = 276627615264. Its totient is φ = 44838592000.

The previous prime is 112342011973. The next prime is 112342012009. The reversal of 112342012000 is 210243211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112342012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813539 + ... + 1874461.

It is an arithmetic number, because the mean of its divisors is an integer number (2881537659).

Almost surely, 2112342012000 is an apocalyptic number.

112342012000 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 112342012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138313807632).

112342012000 is an abundant number, since it is smaller than the sum of its proper divisors (164285603264).

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

112342012000 is an equidigital number, since it uses as much as digits as its factorization.

112342012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61409 (or 61391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 112342012000 its reverse (210243211), we get a palindrome (112552255211).

The spelling of 112342012000 in words is "one hundred twelve billion, three hundred forty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 461 500 800 922 1000 1844 2000 2305 3688 4000 4610 7376 9220 11525 14752 18440 23050 36880 46100 57625 60923 73760 92200 115250 121846 184400 230500 243692 304615 368800 461000 487384 609230 922000 974768 1218460 1523075 1844000 1949536 2436920 3046150 4873840 6092300 7615375 9747680 12184600 15230750 24369200 28085503 30461500 48738400 56171006 60923000 112342012 121846000 140427515 224684024 243692000 280855030 449368048 561710060 702137575 898736096 1123420120 1404275150 2246840240 2808550300 3510687875 4493680480 5617100600 7021375750 11234201200 14042751500 22468402400 28085503000 56171006000 112342012000