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1122014042000 = 24531733000413
BaseRepresentation
bin10000010100111101001…
…111111001011110010000
310222021010002100222012122
4100110331033321132100
5121340341043321000
62215240210513412
7144030360666005
oct20247517713620
93867102328178
101122014042000
113a2930748635
12161554295868
1381a61805827
143c43d0618ac
151e2bd455085
hex1053d3f9790

1122014042000 has 80 divisors (see below), whose sum is σ = 2872620037872. Its totient is φ = 422405273600.

The previous prime is 1122014041999. The next prime is 1122014042011. The reversal of 1122014042000 is 2404102211.

It can be written as a sum of positive squares in 8 ways, for example, as 145704050944 + 976309991056 = 381712^2 + 988084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1122014042000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16466207 + ... + 16534206.

Almost surely, 21122014042000 is an apocalyptic number.

1122014042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122014042000 is an abundant number, since it is smaller than the sum of its proper divisors (1750605995872).

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

1122014042000 is a wasteful number, since it uses less digits than its factorization.

1122014042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33000453 (or 33000437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 1122014042000 its reverse (2404102211), we get a palindrome (1124418144211).

The spelling of 1122014042000 in words is "one trillion, one hundred twenty-two billion, fourteen million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 33000413 66000826 132001652 165002065 264003304 330004130 528006608 561007021 660008260 825010325 1122014042 1320016520 1650020650 2244028084 2640033040 2805035105 3300041300 4125051625 4488056168 5610070210 6600082600 8250103250 8976112336 11220140420 13200165200 14025175525 16500206500 22440280840 28050351050 33000413000 44880561680 56100702100 66000826000 70125877625 112201404200 140251755250 224402808400 280503510500 561007021000 1122014042000