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1200122112020 = 225138575386061
BaseRepresentation
bin10001011101101100110…
…110100010100000010100
311020201201120111001011212
4101131230312202200110
5124130322230041040
62315154541520552
7152464100431526
oct21355466424024
94221646431155
101200122112020
11422a72710717
12174712573158
138922b9a1040
144212c833a16
15213407abd65
hex1176cda2814

1200122112020 has 48 divisors (see below), whose sum is σ = 2717289823248. Its totient is φ = 442604866560.

The previous prime is 1200122112019. The next prime is 1200122112023. The reversal of 1200122112020 is 202112210021.

It can be written as a sum of positive squares in 8 ways, for example, as 50324846224 + 1149797265796 = 224332^2 + 1072286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1200122111986 and 1200122112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200122112023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470211 + ... + 2915850.

It is an arithmetic number, because the mean of its divisors is an integer number (56610204651).

Almost surely, 21200122112020 is an apocalyptic number.

1200122112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200122112020 is an abundant number, since it is smaller than the sum of its proper divisors (1517167711228).

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

1200122112020 is a wasteful number, since it uses less digits than its factorization.

1200122112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386940 (or 5386938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1200122112020 its reverse (202112210021), we get a palindrome (1402234322041).

The spelling of 1200122112020 in words is "one trillion, two hundred billion, one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 857 1714 3428 4285 8570 11141 17140 22282 44564 55705 111410 222820 5386061 10772122 21544244 26930305 53860610 70018793 107721220 140037586 280075172 350093965 700187930 1400375860 4615854277 9231708554 18463417108 23079271385 46158542770 60006105601 92317085540 120012211202 240024422404 300030528005 600061056010 1200122112020