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12012103131210 = 232571319173910391
BaseRepresentation
bin1010111011001100100100…
…1000111110000001001010
31120112100100010020212120100
42232303021020332001022
53033301241400144320
641314141202110230
72346563053642230
oct256631110760112
946470303225510
1012012103131210
113911339076486
12142003904b376
136919760231a0
142d75631a4950
1515c6e0763790
hexaecc923e04a

12012103131210 has 384 divisors, whose sum is σ = 38695990394880. Its totient is φ = 2517498662400.

The previous prime is 12012103131157. The next prime is 12012103131247. The reversal of 12012103131210 is 1213130121021.

12012103131210 is a `hidden beast` number, since 1 + 20 + 1 + 210 + 313 + 121 + 0 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1156005115 + ... + 1156015505.

It is an arithmetic number, because the mean of its divisors is an integer number (100770808320).

Almost surely, 212012103131210 is an apocalyptic number.

12012103131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012103131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347995197440).

12012103131210 is an abundant number, since it is smaller than the sum of its proper divisors (26683887263670).

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

12012103131210 is a wasteful number, since it uses less digits than its factorization.

12012103131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11354 (or 11351 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12012103131210 its reverse (1213130121021), we get a palindrome (13225233252231).

The spelling of 12012103131210 in words is "twelve trillion, twelve billion, one hundred three million, one hundred thirty-one thousand, two hundred ten".