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12311100002120 = 235321179583009
BaseRepresentation
bin1011001100100110011010…
…1111100000111101001000
31121120221002201121122220012
42303021212233200331020
53103201113100031440
642103350302451052
72410306351262153
oct263114657407510
947527081548805
1012311100002120
113a17121001a77
121469b82593a88
136b3c1608a58a
14307c08dc2c9a
1516538ed23e65
hexb3266be0f48

12311100002120 has 32 divisors (see below), whose sum is σ = 27700840366200. Its totient is φ = 4924286158848.

The previous prime is 12311100002101. The next prime is 12311100002143. The reversal of 12311100002120 is 2120000111321.

12311100002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5196749411044 + 7114350591076 = 2279638^2 + 2667274^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12311100002095 and 12311100002104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3506825 + ... + 6076184.

Almost surely, 212311100002120 is an apocalyptic number.

12311100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311100002120 is an abundant number, since it is smaller than the sum of its proper divisors (15389740364080).

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

12311100002120 is a wasteful number, since it uses less digits than its factorization.

12311100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9615137 (or 9615133 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12311100002120 its reverse (2120000111321), we get a palindrome (14431100113441).

The spelling of 12311100002120 in words is "twelve trillion, three hundred eleven billion, one hundred million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 32117 64234 128468 160585 256936 321170 642340 1284680 9583009 19166018 38332036 47915045 76664072 95830090 191660180 383320360 307777500053 615555000106 1231110000212 1538887500265 2462220000424 3077775000530 6155550001060 12311100002120