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1200021102120 = 233537349774427
BaseRepresentation
bin10001011101100110110…
…101001101111000101000
311020201110112102012122110
4101131212311031320220
5124130120400231440
62315140532522320
7152461433032161
oct21354665157050
94221415365573
101200021102120
11422a2069a465
121746a47803a0
1389213a95979
144211d25c768
15213369a8080
hex11766d4de28

1200021102120 has 128 divisors (see below), whose sum is σ = 3707961264000. Its totient is φ = 310464285696.

The previous prime is 1200021102089. The next prime is 1200021102187. The reversal of 1200021102120 is 212011200021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1200021102096 and 1200021102105.

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, 1162347 + ... + 1936773.

It is an arithmetic number, because the mean of its divisors is an integer number (28968447375).

Almost surely, 21200021102120 is an apocalyptic number.

1200021102120 is a gapful number since it is divisible by the number (10) 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 1200021102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853980632000).

1200021102120 is an abundant number, since it is smaller than the sum of its proper divisors (2507940161880).

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

1200021102120 is a wasteful number, since it uses less digits than its factorization.

1200021102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774827 (or 774823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200021102120 its reverse (212011200021), we get a palindrome (1412032302141).

The spelling of 1200021102120 in words is "one trillion, two hundred billion, twenty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 349 370 444 555 698 740 888 1047 1110 1396 1480 1745 2094 2220 2792 3490 4188 4440 5235 6980 8376 10470 12913 13960 20940 25826 38739 41880 51652 64565 77478 103304 129130 154956 193695 258260 309912 387390 516520 774427 774780 1548854 1549560 2323281 3097708 3872135 4646562 6195416 7744270 9293124 11616405 15488540 18586248 23232810 28653799 30977080 46465620 57307598 85961397 92931240 114615196 143268995 171922794 229230392 270275023 286537990 343845588 429806985 540550046 573075980 687691176 810825069 859613970 1081100092 1146151960 1351375115 1621650138 1719227940 2162200184 2702750230 3243300276 3438455880 4054125345 5405500460 6486600552 8108250690 10000175851 10811000920 16216501380 20000351702 30000527553 32433002760 40000703404 50000879255 60001055106 80001406808 100001758510 120002110212 150002637765 200003517020 240004220424 300005275530 400007034040 600010551060 1200021102120