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20010121201120 = 255438293508381
BaseRepresentation
bin1001000110010111110000…
…01010101000010111100000
32121211221121202021210110111
410203023320022220113200
510110321212011413440
6110320304530341104
74133453312556601
oct443137012502740
977757552253414
1020010121201120
116415276834266
1222b211912a794
13b21c3c128a3b
144d26d052dda8
1524a7986d54ea
hex1232f82a85e0

20010121201120 has 96 divisors (see below), whose sum is σ = 48431669821920. Its totient is φ = 7808475064320.

The previous prime is 20010121201001. The next prime is 20010121201127. The reversal of 20010121201120 is 2110212101002.

It is a super-2 number, since 2×200101212011202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20010121201120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010121201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3949330 + ... + 7457710.

It is an arithmetic number, because the mean of its divisors is an integer number (504496560645).

Almost surely, 220010121201120 is an apocalyptic number.

20010121201120 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 20010121201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24215834910960).

20010121201120 is an abundant number, since it is smaller than the sum of its proper divisors (28421548620800).

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

20010121201120 is a wasteful number, since it uses less digits than its factorization.

20010121201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509268 (or 3509260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20010121201120 its reverse (2110212101002), we get a palindrome (22120333302122).

The spelling of 20010121201120 in words is "twenty trillion, ten billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 829 860 1376 1658 1720 3316 3440 4145 6632 6880 8290 13264 16580 26528 33160 35647 66320 71294 132640 142588 178235 285176 356470 570352 712940 1140704 1425880 2851760 3508381 5703520 7016762 14033524 17541905 28067048 35083810 56134096 70167620 112268192 140335240 150860383 280670480 301720766 561340960 603441532 754301915 1206883064 1508603830 2413766128 2908447849 3017207660 4827532256 5816895698 6034415320 11633791396 12068830640 14542239245 23267582792 24137661280 29084478490 46535165584 58168956980 93070331168 116337913960 125063257507 232675827920 250126515014 465351655840 500253030028 625316287535 1000506060056 1250632575070 2001012120112 2501265150140 4002024240224 5002530300280 10005060600560 20010121201120