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120212021000020 = 22540841147170761
BaseRepresentation
bin11011010101010100001010…
…110011110011011101010100
3120202122011020102200210101211
4123111110022303303131110
5111224023204334000040
61103400350130431204
734215013642020355
oct3325241263633524
9522564212623354
10120212021000020
11353376a4a2a674
1211595a8a732504
13520cc39053cc1
142198415877d2c
15dd6ecd0e78ea
hex6d550acf3754

120212021000020 has 24 divisors (see below), whose sum is σ = 252451426987368. Its totient is φ = 48083630707200.

The previous prime is 120212020999991. The next prime is 120212021000047. The reversal of 120212021000020 is 20000120212021.

It is a happy number.

120212021000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54187913227536 + 66024107772484 = 7361244^2 + 8125522^2 .

It is a congruent number.

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, 72768561 + ... + 74402200.

It is an arithmetic number, because the mean of its divisors is an integer number (10518809457807).

Almost surely, 2120212021000020 is an apocalyptic number.

120212021000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212021000020 is an abundant number, since it is smaller than the sum of its proper divisors (132239405987348).

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

120212021000020 is a wasteful number, since it uses less digits than its factorization.

120212021000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147211611 (or 147211609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120212021000020 its reverse (20000120212021), we get a palindrome (140212141212041).

The spelling of 120212021000020 in words is "one hundred twenty trillion, two hundred twelve billion, twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 40841 81682 163364 204205 408410 816820 147170761 294341522 588683044 735853805 1471707610 2943415220 6010601050001 12021202100002 24042404200004 30053005250005 60106010500010 120212021000020