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20021012112120 = 2335437297531731
BaseRepresentation
bin1001000110101100000010…
…10100001010001011111000
32121212222201202110101201120
410203112001110022023320
510111011013100041440
6110325305340345240
74134320226023655
oct443260124121370
977788652411646
1020021012112120
116419955432958
1222b4258545220
13b22c86579886
144d3044b24c2c
1524abd48c6dd0
hex12358150a2f8

20021012112120 has 128 divisors (see below), whose sum is σ = 61468389354240. Its totient is φ = 5214050795520.

The previous prime is 20021012112091. The next prime is 20021012112133. The reversal of 20021012112120 is 2121121012002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20021012112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37386655 + ... + 37918385.

It is an arithmetic number, because the mean of its divisors is an integer number (480221791830).

Almost surely, 220021012112120 is an apocalyptic number.

20021012112120 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 20021012112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30734194677120).

20021012112120 is an abundant number, since it is smaller than the sum of its proper divisors (41447377242120).

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

20021012112120 is a wasteful number, since it uses less digits than its factorization.

20021012112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539085 (or 539081 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20021012112120 its reverse (2121121012002), we get a palindrome (22142133124122).

The spelling of 20021012112120 in words is "twenty trillion, twenty-one billion, twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 7297 14594 21891 29188 36485 43782 58376 72970 87564 109455 145940 175128 218910 291880 313771 437820 531731 627542 875640 941313 1063462 1255084 1568855 1595193 1882626 2126924 2510168 2658655 3137710 3190386 3765252 4253848 4706565 5317310 6275420 6380772 7530504 7975965 9413130 10634620 12550840 12761544 15951930 18826260 21269240 22864433 31903860 37652520 45728866 63807720 68593299 91457732 114322165 137186598 182915464 228644330 274373196 342966495 457288660 548746392 685932990 914577320 1371865980 2743731960 3880041107 7760082214 11640123321 15520164428 19400205535 23280246642 31040328856 38800411070 46560493284 58200616605 77600822140 93120986568 116401233210 155201644280 166841767601 232802466420 333683535202 465604932840 500525302803 667367070404 834208838005 1001050605606 1334734140808 1668417676010 2002101211212 2502626514015 3336835352020 4004202422424 5005253028030 6673670704040 10010506056060 20021012112120