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120021002000 = 245360010501
BaseRepresentation
bin110111111000111001…
…1110010011100010000
3102110210110200121211022
41233301303302130100
53431300334031000
6131045322335012
711446142453504
oct1576163623420
9373713617738
10120021002000
114699a7aa249
121b31695a468
13b41965b8a3
145b48052304
1531c6c53585
hex1bf1cf2710

120021002000 has 40 divisors (see below), whose sum is σ = 290210787672. Its totient is φ = 48008400000.

The previous prime is 120021001981. The next prime is 120021002039. The reversal of 120021002000 is 200120021.

It can be written as a sum of positive squares in 4 ways, for example, as 246866944 + 119774135056 = 15712^2 + 346084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30003251 + ... + 30007250.

Almost surely, 2120021002000 is an apocalyptic number.

120021002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021002000 is an abundant number, since it is smaller than the sum of its proper divisors (170189785672).

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

120021002000 is an equidigital number, since it uses as much as digits as its factorization.

120021002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60010524 (or 60010508 counting only the distinct ones).

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

Adding to 120021002000 its reverse (200120021), we get a palindrome (120221122021).

The spelling of 120021002000 in words is "one hundred twenty billion, twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60010501 120021002 240042004 300052505 480084008 600105010 960168016 1200210020 1500262525 2400420040 3000525050 4800840080 6001050100 7501312625 12002100200 15002625250 24004200400 30005250500 60010501000 120021002000