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2120211213000 = 233532273310927
BaseRepresentation
bin11110110110100110011…
…011111010101011001000
321111200122011110012020020
4132312212123322223020
5234214143032304000
64302002300300440
7306115544645556
oct36664633725310
97450564405206
102120211213000
117481a3a57401
122a2ab2541720
13124c2043073a
1474893c96bd6
153a2417a4ba0
hex1eda66faac8

2120211213000 has 128 divisors (see below), whose sum is σ = 6617990545920. Its totient is φ = 565139097600.

The previous prime is 2120211212957. The next prime is 2120211213013. The reversal of 2120211213000 is 3121120212.

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

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, 6663537 + ... + 6974463.

It is an arithmetic number, because the mean of its divisors is an integer number (51703051140).

Almost surely, 22120211213000 is an apocalyptic number.

2120211213000 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 2120211213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308995272960).

2120211213000 is an abundant number, since it is smaller than the sum of its proper divisors (4497779332920).

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

2120211213000 is a wasteful number, since it uses less digits than its factorization.

2120211213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313224 (or 313210 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2120211213000 its reverse (3121120212), we get a palindrome (2123332333212).

The spelling of 2120211213000 in words is "two trillion, one hundred twenty billion, two hundred eleven million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2273 3000 4546 6819 9092 11365 13638 18184 22730 27276 34095 45460 54552 56825 68190 90920 113650 136380 170475 227300 272760 284125 310927 340950 454600 568250 621854 681900 852375 932781 1136500 1243708 1363800 1554635 1704750 1865562 2273000 2487416 3109270 3409500 3731124 4663905 6218540 6819000 7462248 7773175 9327810 12437080 15546350 18655620 23319525 31092700 37311240 38865875 46639050 62185400 77731750 93278100 116597625 155463500 186556200 233195250 310927000 466390500 706737071 932781000 1413474142 2120211213 2826948284 3533685355 4240422426 5653896568 7067370710 8480844852 10601056065 14134741420 16961689704 17668426775 21202112130 28269482840 35336853550 42404224260 53005280325 70673707100 84808448520 88342133875 106010560650 141347414200 176684267750 212021121300 265026401625 353368535500 424042242600 530052803250 706737071000 1060105606500 2120211213000