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1001202212000 = 2553250300553
BaseRepresentation
bin11101001000111000100…
…11010101110010100000
310112201021111121010022102
432210130103111302200
5112400430231241000
62043540154025532
7132222503246204
oct16443423256240
93481244533272
101001202212000
11356675602631
121420587182a8
137354a385aa3
143665bd90b04
151b09c08c3d5
hexe91c4d5ca0

1001202212000 has 48 divisors (see below), whose sum is σ = 2459953844712. Its totient is φ = 400480883200.

The previous prime is 1001202211993. The next prime is 1001202212009. The reversal of 1001202212000 is 2122021001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 562974099856 + 438228112144 = 750316^2 + 661988^2 .

It is not an unprimeable number, because it can be changed into a prime (1001202212009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125146277 + ... + 125154276.

Almost surely, 21001202212000 is an apocalyptic number.

1001202212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001202212000 is an abundant number, since it is smaller than the sum of its proper divisors (1458751632712).

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

1001202212000 is an equidigital number, since it uses as much as digits as its factorization.

1001202212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250300578 (or 250300560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001202212000 its reverse (2122021001), we get a palindrome (1003324233001).

The spelling of 1001202212000 in words is "one trillion, one billion, two hundred two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 250300553 500601106 1001202212 1251502765 2002404424 2503005530 4004808848 5006011060 6257513825 8009617696 10012022120 12515027650 20024044240 25030055300 31287569125 40048088480 50060110600 62575138250 100120221200 125150276500 200240442400 250300553000 500601106000 1001202212000