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12010221011000 = 235315776498223
BaseRepresentation
bin1010111011000101100011…
…1101010000000000111000
31120112011110221201021000102
42232301120331100000320
53033233413034323000
641313230325454532
72346465321121262
oct256613075200070
946464427637012
1012010221011000
113910562722733
12141b7b2871448
1369173610c9a4
142d7425232b32
1515c6303d83d5
hexaec58f50038

12010221011000 has 64 divisors (see below), whose sum is σ = 28282923377280. Its totient is φ = 4773489052800.

The previous prime is 12010221010967. The next prime is 12010221011003. The reversal of 12010221011000 is 11012201021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010221011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38092112 + ... + 38406111.

It is an arithmetic number, because the mean of its divisors is an integer number (441920677770).

Almost surely, 212010221011000 is an apocalyptic number.

12010221011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010221011000 is an abundant number, since it is smaller than the sum of its proper divisors (16272702366280).

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

12010221011000 is a wasteful number, since it uses less digits than its factorization.

12010221011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76498401 (or 76498387 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12010221011000 its reverse (11012201021), we get a palindrome (12021233212021).

The spelling of 12010221011000 in words is "twelve trillion, ten billion, two hundred twenty-one million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 157 200 250 314 500 628 785 1000 1256 1570 3140 3925 6280 7850 15700 19625 31400 39250 78500 157000 76498223 152996446 305992892 382491115 611985784 764982230 1529964460 1912455575 3059928920 3824911150 7649822300 9562277875 12010221011 15299644600 19124555750 24020442022 38249111500 48040884044 60051105055 76498223000 96081768088 120102210110 240204420220 300255525275 480408840440 600511050550 1201022101100 1501277626375 2402044202200 3002555252750 6005110505500 12010221011000