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12021970000 = 24541936229
BaseRepresentation
bin10110011001001000…
…01011010001010000
31011000211110100112011
423030210023101100
5144110111020000
65304532312304
7603626026135
oct131444132120
934024410464
1012021970000
11510a0a7aa7
1223b6172694
131197887821
148208da58c
154a56602ba
hex2cc90b450

12021970000 has 100 divisors (see below), whose sum is σ = 29261898820. Its totient is φ = 4783104000.

The previous prime is 12021969989. The next prime is 12021970001. The reversal of 12021970000 is 7912021.

It can be written as a sum of positive squares in 10 ways, for example, as 10457925696 + 1564044304 = 102264^2 + 39548^2 .

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 (12021970001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1926886 + ... + 1933114.

Almost surely, 212021970000 is an apocalyptic number.

12021970000 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 12021970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630949410).

12021970000 is an abundant number, since it is smaller than the sum of its proper divisors (17239928820).

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

12021970000 is an equidigital number, since it uses as much as digits as its factorization.

12021970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 12021970000 in words is "twelve billion, twenty-one million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 193 200 250 386 400 500 625 772 965 1000 1250 1544 1930 2000 2500 3088 3860 4825 5000 6229 7720 9650 10000 12458 15440 19300 24125 24916 31145 38600 48250 49832 62290 77200 96500 99664 120625 124580 155725 193000 241250 249160 311450 386000 482500 498320 622900 778625 965000 1202197 1245800 1557250 1930000 2404394 2491600 3114500 3893125 4808788 6010985 6229000 7786250 9617576 12021970 12458000 15572500 19235152 24043940 30054925 31145000 48087880 60109850 62290000 96175760 120219700 150274625 240439400 300549250 480878800 601098500 751373125 1202197000 1502746250 2404394000 3005492500 6010985000 12021970000