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12001301020320 = 253573893848347
BaseRepresentation
bin1010111010100100010101…
…0010001011111010100000
31120111022110022011210011020
42232221011102023322200
53033112131030122240
641305153243245440
72346031266342453
oct256510522137240
946438408153136
1012001301020320
1139077a5609707
121419b23519880
136909440c40b1
142d6c1a6c749a
1515c2ac2630d0
hexaea4548bea0

12001301020320 has 192 divisors, whose sum is σ = 38752556492160. Its totient is φ = 3121039392768.

The previous prime is 12001301020307. The next prime is 12001301020349. The reversal of 12001301020320 is 2302010310021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12001301020320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1194387 + ... + 5042733.

It is an arithmetic number, because the mean of its divisors is an integer number (201836231730).

Almost surely, 212001301020320 is an apocalyptic number.

12001301020320 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 12001301020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19376278246080).

12001301020320 is an abundant number, since it is smaller than the sum of its proper divisors (26751255471840).

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

12001301020320 is a wasteful number, since it uses less digits than its factorization.

12001301020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848527 (or 3848519 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12001301020320 its reverse (2302010310021), we get a palindrome (14303311330341).

The spelling of 12001301020320 in words is "twelve trillion, one billion, three hundred one million, twenty thousand, three hundred twenty".