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1012122112012 = 2211375925141981
BaseRepresentation
bin11101011101001110010…
…11011101000000001100
310120202110112022112000121
432232213023131000030
5113040311230041022
62052543521234324
7133060221001324
oct16564713350014
93522415275017
101012122112012
11360269601090
121441a57929a4
137459a81669b
1436db6370284
151b4daaa82c7
hexeba72dd00c

1012122112012 has 96 divisors (see below), whose sum is σ = 2026178945280. Its totient is φ = 438271200000.

The previous prime is 1012122111943. The next prime is 1012122112033. The reversal of 1012122112012 is 2102112212101.

1012122112012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24088062 + ... + 24130042.

It is an arithmetic number, because the mean of its divisors is an integer number (21106030680).

Almost surely, 21012122112012 is an apocalyptic number.

It is an amenable number.

1012122112012 is an abundant number, since it is smaller than the sum of its proper divisors (1014056833268).

1012122112012 is a wasteful number, since it uses less digits than its factorization.

1012122112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42343 (or 42341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1012122112012 its reverse (2102112212101), we get a palindrome (3114234324113).

The spelling of 1012122112012 in words is "one trillion, twelve billion, one hundred twenty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 11 22 37 44 59 74 118 148 236 251 407 502 649 814 1004 1298 1628 2183 2596 2761 4366 5522 8732 9287 11044 14809 18574 24013 29618 37148 41981 48026 59236 83962 96052 102157 162899 167924 204314 325798 408628 461791 547933 651596 923582 1095866 1553297 1847164 2191732 2476879 3106594 4953758 6027263 6213188 9907516 10537231 12054526 17086267 21074462 24109052 27245669 34172534 42148924 54491338 68345068 91644523 108982676 115909541 183289046 231819082 366578092 389877547 463638164 621696629 779755094 1008089753 1243393258 1559510188 2016179506 2486786516 4032359012 4288653017 6838662919 8577306034 13677325838 17154612068 23002775273 27354651676 46005550546 92011101092 253030528003 506061056006 1012122112012