Search a number
-
+
1012110012120 = 233543571935793
BaseRepresentation
bin11101011101001100111…
…01010010111011011000
310120202102200112210002110
432232212131102323120
5113040300130341440
62052542410032320
7133060013104554
oct16564635227330
93522380483073
101012110012120
11360262797279
121441a17186a0
137459816b09c
1436db4900864
151b4d99b8080
hexeba6752ed8

1012110012120 has 64 divisors (see below), whose sum is σ = 3037028490720. Its totient is φ = 269833918464.

The previous prime is 1012110012113. The next prime is 1012110012127. The reversal of 1012110012120 is 212100112101.

It is an interprime number because it is at equal distance from previous prime (1012110012113) and next prime (1012110012127).

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 = 1012110012096 and 1012110012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012110012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445057 + ... + 1490736.

Almost surely, 21012110012120 is an apocalyptic number.

1012110012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012110012120 is an abundant number, since it is smaller than the sum of its proper divisors (2024918478600).

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

1012110012120 is a wasteful number, since it uses less digits than its factorization.

1012110012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940164 (or 1940160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012110012120 its reverse (212100112101), we get a palindrome (1224210124221).

The spelling of 1012110012120 in words is "one trillion, twelve billion, one hundred ten million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4357 8714 13071 17428 21785 26142 34856 43570 52284 65355 87140 104568 130710 174280 261420 522840 1935793 3871586 5807379 7743172 9678965 11614758 15486344 19357930 23229516 29036895 38715860 46459032 58073790 77431720 116147580 232295160 8434250101 16868500202 25302750303 33737000404 42171250505 50605500606 67474000808 84342501010 101211001212 126513751515 168685002020 202422002424 253027503030 337370004040 506055006060 1012110012120