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112121220221000 = 2353112139999217
BaseRepresentation
bin11001011111100101000001…
…100000001100100001001000
3112200222200110121121220002222
4121133211001200030201020
5104143443224334033000
61034243435534513212
732421330234064634
oct3137450140144110
9480880417556088
10112121220221000
11327a8384903201
12106a9a15965808
134a73ca7774243
141d989a5c0bdc4
15ce67e4877a85
hex65f94180c848

112121220221000 has 64 divisors (see below), whose sum is σ = 262387079725680. Its totient is φ = 44844483916800.

The previous prime is 112121220220979. The next prime is 112121220221011. The reversal of 112121220221000 is 122022121211.

It can be written as a sum of positive squares in 8 ways, for example, as 1464327488836 + 110656892732164 = 1210094^2 + 10519358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112121220221000.

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, 6213392 + ... + 16212608.

Almost surely, 2112121220221000 is an apocalyptic number.

112121220221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121220221000 is an abundant number, since it is smaller than the sum of its proper divisors (150265859504680).

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

112121220221000 is a wasteful number, since it uses less digits than its factorization.

112121220221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010451 (or 10010437 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112121220221000 its reverse (122022121211), we get a palindrome (112243242342211).

The spelling of 112121220221000 in words is "one hundred twelve trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11213 22426 44852 56065 89704 112130 224260 280325 448520 560650 1121300 1401625 2242600 2803250 5606500 9999217 11213000 19998434 39996868 49996085 79993736 99992170 199984340 249980425 399968680 499960850 999921700 1249902125 1999843400 2499804250 4999608500 9999217000 112121220221 224242440442 448484880884 560606101105 896969761768 1121212202210 2242424404420 2803030505525 4484848808840 5606061011050 11212122022100 14015152527625 22424244044200 28030305055250 56060610110500 112121220221000