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202120021221200 = 245233111511326313
BaseRepresentation
bin101101111101001110111100…
…000100010001111101010000
3222111122111002210120200001022
4231331032330010101331100
5202443013300413034300
61553512353401455012
760400455355341425
oct5575167404217520
9874574083520038
10202120021221200
115944668a7a3035
121a80426a1a1468
1388a1ab422a824
1437ca938581d4c
151857913d15285
hexb7d3bc111f50

202120021221200 has 120 divisors (see below), whose sum is σ = 487483930745856. Its totient is φ = 80533664640000.

The previous prime is 202120021221169. The next prime is 202120021221247. The reversal of 202120021221200 is 2122120021202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151729244 + ... + 153055556.

Almost surely, 2202120021221200 is an apocalyptic number.

202120021221200 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 202120021221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243741965372928).

202120021221200 is an abundant number, since it is smaller than the sum of its proper divisors (285363909524656).

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

202120021221200 is a wasteful number, since it uses less digits than its factorization.

202120021221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327813 (or 1327802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202120021221200 its reverse (2122120021202), we get a palindrome (204242141242402).

The spelling of 202120021221200 in words is "two hundred two trillion, one hundred twenty billion, twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 331 400 662 1151 1324 1655 2302 2648 3310 4604 5296 5755 6620 8275 9208 11510 13240 16550 18416 23020 26480 28775 33100 46040 57550 66200 92080 115100 132400 230200 380981 460400 761962 1326313 1523924 1904905 2652626 3047848 3809810 5305252 6095696 6631565 7619620 9524525 10610504 13263130 15239240 19049050 21221008 26526260 30478480 33157825 38098100 53052520 66315650 76196200 106105040 132631300 152392400 265262600 439009603 530525200 878019206 1526586263 1756038412 2195048015 3053172526 3512076824 4390096030 6106345052 7024153648 7632931315 8780192060 10975240075 12212690104 15265862630 17560384120 21950480150 24425380208 30531725260 35120768240 38164656575 43900960300 61063450520 76329313150 87801920600 122126901040 152658626300 175603841200 305317252600 505300053053 610634505200 1010600106106 2021200212212 2526500265265 4042400424424 5053000530530 8084800848848 10106001061060 12632501326325 20212002122120 25265002652650 40424004244240 50530005305300 101060010610600 202120021221200