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12140120143032 = 2337174639779397
BaseRepresentation
bin1011000010101001011110…
…0011000111010010111000
31120222120202211211212210120
42300222113203013102320
53042400431224034112
641453032203013240
72362044331410030
oct260522743072270
946876684755716
1012140120143032
113960661368202
121440a0580a220
136a0a6812891b
142dd8291628c0
15160bd4474e8c
hexb0a978c74b8

12140120143032 has 256 divisors, whose sum is σ = 36847329546240. Its totient is φ = 3253838708736.

The previous prime is 12140120143027. The next prime is 12140120143159. The reversal of 12140120143032 is 23034102104121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12140120142993 and 12140120143011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291909758 + ... + 1291919154.

It is an arithmetic number, because the mean of its divisors is an integer number (143934881040).

Almost surely, 212140120143032 is an apocalyptic number.

12140120143032 is a gapful number since it is divisible by the number (12) 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 12140120143032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18423664773120).

12140120143032 is an abundant number, since it is smaller than the sum of its proper divisors (24707209403208).

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

12140120143032 is a wasteful number, since it uses less digits than its factorization.

12140120143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10870 (or 10866 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12140120143032 its reverse (23034102104121), we get a palindrome (35174222247153).

The spelling of 12140120143032 in words is "twelve trillion, one hundred forty billion, one hundred twenty million, one hundred forty-three thousand, thirty-two".