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1012230312120 = 23355106397967
BaseRepresentation
bin11101011101011011010…
…00001101000010111000
310120202202001220122200000
432232231220031002320
5113041021424441440
62053002344313000
7133063003455456
oct16565550150270
93522661818600
101012230312120
11360314693465
12144215a72760
13745b706b711
1436dc68979d6
151b4e532c730
hexebada0d0b8

1012230312120 has 192 divisors, whose sum is σ = 3414835307520. Its totient is φ = 269671400064.

The previous prime is 1012230312113. The next prime is 1012230312127. The reversal of 1012230312120 is 212130322101.

1012230312120 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 230 + 312 + 120 = 666.

1012230312120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1012230312113) and next prime (1012230312127).

It is a super-2 number, since 2×10122303121202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1012230312093 and 1012230312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012230312127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10283377 + ... + 10381343.

It is an arithmetic number, because the mean of its divisors is an integer number (17785600560).

Almost surely, 21012230312120 is an apocalyptic number.

1012230312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012230312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707417653760).

1012230312120 is an abundant number, since it is smaller than the sum of its proper divisors (2402604995400).

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

1012230312120 is a wasteful number, since it uses less digits than its factorization.

1012230312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99056 (or 99040 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012230312120 its reverse (212130322101), we get a palindrome (1224360634221).

The spelling of 1012230312120 in words is "one trillion, twelve billion, two hundred thirty million, three hundred twelve thousand, one hundred twenty".