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120100021201020 = 22357285952431431
BaseRepresentation
bin11011010011101011110111…
…000110011110100001111100
3120202020110010222022111112010
4123103223313012132201330
5111220204320411413040
61103233104342211220
734203640325313210
oct3323536706364174
9522213128274463
10120100021201020
11352a4150a6aa13
1211578232123b10
1352024ca4503a3
142192c2cc4c940
15dd412567be80
hex6d3af719e87c

120100021201020 has 48 divisors (see below), whose sum is σ = 384320067844608. Its totient is φ = 27451433417280.

The previous prime is 120100021201009. The next prime is 120100021201049. The reversal of 120100021201020 is 20102120001021.

120100021201020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120100021200987 and 120100021201005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142976215296 + ... + 142976216135.

It is an arithmetic number, because the mean of its divisors is an integer number (8006668080096).

Almost surely, 2120100021201020 is an apocalyptic number.

120100021201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100021201020 is an abundant number, since it is smaller than the sum of its proper divisors (264220046643588).

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

120100021201020 is a wasteful number, since it uses less digits than its factorization.

120100021201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285952431450 (or 285952431448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120100021201020 its reverse (20102120001021), we get a palindrome (140202141202041).

The spelling of 120100021201020 in words is "one hundred twenty trillion, one hundred billion, twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 285952431431 571904862862 857857294293 1143809725724 1429762157155 1715714588586 2001667020017 2859524314310 3431429177172 4003334040034 4289286471465 5719048628620 6005001060051 8006668080068 8578572942930 10008335100085 12010002120102 17157145885860 20016670200170 24020004240204 30025005300255 40033340400340 60050010600510 120100021201020