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2021121200120 = 2351117308387643
BaseRepresentation
bin11101011010010100001…
…101100000111111111000
321011012212102002222122012
4131122110031200333320
5231103224011400440
64144253521345052
7266010160513001
oct35322415407770
97135772088565
102021121200120
1170a175255080
12287859498188
1311878b303419
146db73a321a8
15378923bae65
hex1d694360ff8

2021121200120 has 128 divisors (see below), whose sum is σ = 5254517226240. Its totient is φ = 691488368640.

The previous prime is 2021121200081. The next prime is 2021121200129. The reversal of 2021121200120 is 210021211202.

It is a junction number, because it is equal to n+sod(n) for n = 2021121200095 and 2021121200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021121200129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23017019 + ... + 23104661.

It is an arithmetic number, because the mean of its divisors is an integer number (41050915830).

Almost surely, 22021121200120 is an apocalyptic number.

2021121200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021121200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627258613120).

2021121200120 is an abundant number, since it is smaller than the sum of its proper divisors (3233396026120).

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

2021121200120 is a wasteful number, since it uses less digits than its factorization.

2021121200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90765 (or 90761 counting only the distinct ones).

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

Adding to 2021121200120 its reverse (210021211202), we get a palindrome (2231142411322).

The spelling of 2021121200120 in words is "two trillion, twenty-one billion, one hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3083 3740 6166 7480 12332 15415 24664 30830 33913 52411 61660 67826 87643 104822 123320 135652 169565 175286 209644 262055 271304 339130 350572 419288 438215 524110 576521 678260 701144 876430 964073 1048220 1153042 1356520 1489931 1752860 1928146 2096440 2306084 2882605 2979862 3505720 3856292 4612168 4820365 5765210 5959724 7449655 7712584 9640730 11530420 11919448 14899310 16389241 19281460 23060840 29798620 32778482 38562920 59597240 65556964 81946205 131113928 163892410 270203369 327784820 540406738 655569640 1080813476 1351016845 2161626952 2702033690 2972237059 4593457273 5404067380 5944474118 9186914546 10808134760 11888948236 14861185295 18373829092 22967286365 23777896472 29722370590 36747658184 45934572730 50528030003 59444741180 91869145460 101056060006 118889482360 183738290920 202112120012 252640150015 404224240024 505280300030 1010560600060 2021121200120