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20332220021200 = 24523111047148429
BaseRepresentation
bin1001001111101111101101…
…10000000111100111010000
32122222202000101001012100101
410213313312300013213100
510131110341311134300
6111124254250102144
74165645236430153
oct447676660074720
978882011035311
1020332220021200
11652993416212a
12234462b41a954
13b464213c9039
145041285b7c9a
15253d4aee2b6a
hex127df6c079d0

20332220021200 has 120 divisors (see below), whose sum is σ = 50428809889280. Its totient is φ = 7869771302400.

The previous prime is 20332220021171. The next prime is 20332220021207. The reversal of 20332220021200 is 212002223302.

It is a super-2 number, since 2×203322200212002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332220021207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136908586 + ... + 137057014.

Almost surely, 220332220021200 is an apocalyptic number.

20332220021200 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 20332220021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214404944640).

20332220021200 is an abundant number, since it is smaller than the sum of its proper divisors (30096589868080).

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

20332220021200 is a wasteful number, since it uses less digits than its factorization.

20332220021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159525 (or 159514 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20332220021200 its reverse (212002223302), we get a palindrome (20544222244502).

The spelling of 20332220021200 in words is "twenty trillion, three hundred thirty-two billion, two hundred twenty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 11047 12400 22094 44188 55235 88376 110470 148429 176752 220940 276175 296858 342457 441880 552350 593716 684914 742145 883760 1104700 1187432 1369828 1484290 1712285 2209400 2374864 2739656 2968580 3424570 3710725 4418800 4601299 5479312 5937160 6849140 7421450 8561425 9202598 11874320 13698280 14842900 17122850 18405196 23006495 27396560 29685800 34245700 36810392 46012990 59371600 68491400 73620784 92025980 115032475 136982800 184051960 230064950 368103920 460129900 920259800 1639695163 1840519600 3279390326 6558780652 8198475815 13117561304 16396951630 26235122608 32793903260 40992379075 50830550053 65587806520 81984758150 101661100106 131175613040 163969516300 203322200212 254152750265 327939032600 406644400424 508305500530 655878065200 813288800848 1016611001060 1270763751325 2033222002120 2541527502650 4066444004240 5083055005300 10166110010600 20332220021200