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12021010000 = 24547116931
BaseRepresentation
bin10110011001000001…
…00000111001010000
31011000202122120122121
423030200200321100
5144104334310000
65304455544024
7603614620246
oct131440407120
934022576577
1012021010000
11510960180a
1223b598b014
13119760c88c
1482072a796
154a5520b1a
hex2cc820e50

12021010000 has 100 divisors (see below), whose sum is σ = 29515726944. Its totient is φ = 4740400000.

The previous prime is 12021009997. The next prime is 12021010009. The reversal of 12021010000 is 1012021.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 701535 + ... + 718465.

Almost surely, 212021010000 is an apocalyptic number.

12021010000 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 12021010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757863472).

12021010000 is an abundant number, since it is smaller than the sum of its proper divisors (17494716944).

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

12021010000 is an equidigital number, since it uses as much as digits as its factorization.

12021010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17030 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12021010000 its reverse (1012021), we get a palindrome (12022022021).

The spelling of 12021010000 in words is "twelve billion, twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 625 710 1000 1136 1250 1420 1775 2000 2500 2840 3550 5000 5680 7100 8875 10000 14200 16931 17750 28400 33862 35500 44375 67724 71000 84655 88750 135448 142000 169310 177500 270896 338620 355000 423275 677240 710000 846550 1202101 1354480 1693100 2116375 2404202 3386200 4232750 4808404 6010505 6772400 8465500 9616808 10581875 12021010 16931000 19233616 21163750 24042020 30052525 33862000 42327500 48084040 60105050 84655000 96168080 120210100 150262625 169310000 240420200 300525250 480840400 601050500 751313125 1202101000 1502626250 2404202000 3005252500 6010505000 12021010000