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1012112200020 = 2235134171257251
BaseRepresentation
bin11101011101001101001…
…01101001000101010100
310120202102211122221022210
432232212211221011110
5113040301210400040
62052542524553420
7133060040516355
oct16564645510524
93522384587283
101012112200020
11360263a51059
121441a23b2870
1374598755bbc
1436db4d0dd2c
151b4d9c9b480
hexeba6969154

1012112200020 has 48 divisors (see below), whose sum is σ = 2834127632448. Its totient is φ = 269876256000.

The previous prime is 1012112199997. The next prime is 1012112200051. The reversal of 1012112200020 is 200022112101.

1012112200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10121122000202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1012112199969 and 1012112200005.

It is a congruent number.

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, 176395 + ... + 1433645.

It is an arithmetic number, because the mean of its divisors is an integer number (59044325676).

Almost surely, 21012112200020 is an apocalyptic number.

1012112200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112200020 is an abundant number, since it is smaller than the sum of its proper divisors (1822015432428).

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

1012112200020 is a wasteful number, since it uses less digits than its factorization.

1012112200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270680 (or 1270678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012112200020 its reverse (200022112101), we get a palindrome (1212134312121).

The spelling of 1012112200020 in words is "one trillion, twelve billion, one hundred twelve million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 13417 26834 40251 53668 67085 80502 134170 161004 201255 268340 402510 805020 1257251 2514502 3771753 5029004 6286255 7543506 12572510 15087012 18858765 25145020 37717530 75435060 16868536667 33737073334 50605610001 67474146668 84342683335 101211220002 168685366670 202422440004 253028050005 337370733340 506056100010 1012112200020