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1200210213120 = 2835670146643
BaseRepresentation
bin10001011101110010000…
…110100111100100000000
311020201221201021001011120
4101131302012213210000
5124131012303304440
62315211410112240
7152466220325202
oct21356206474400
94221851231146
101200210213120
11423008415346
12174737b7b680
1389244009879
144213a408772
15213483b0dd0
hex117721a7900

1200210213120 has 144 divisors (see below), whose sum is σ = 3833825591232. Its totient is φ = 320001433600.

The previous prime is 1200210213101. The next prime is 1200210213151. The reversal of 1200210213120 is 213120120021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1200210213120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25708519 + ... + 25755161.

It is an arithmetic number, because the mean of its divisors is an integer number (26623788828).

Almost surely, 21200210213120 is an apocalyptic number.

1200210213120 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 1200210213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916912795616).

1200210213120 is an abundant number, since it is smaller than the sum of its proper divisors (2633615378112).

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

1200210213120 is an equidigital number, since it uses as much as digits as its factorization.

1200210213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53368 (or 53354 counting only the distinct ones).

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

Adding to 1200210213120 its reverse (213120120021), we get a palindrome (1413330333141).

The spelling of 1200210213120 in words is "one trillion, two hundred billion, two hundred ten million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6701 13402 20103 26804 33505 40206 46643 53608 67010 80412 93286 100515 107216 134020 139929 160824 186572 201030 214432 233215 268040 279858 321648 373144 402060 428864 466430 536080 559716 643296 699645 746288 804120 857728 932860 1072160 1119432 1286592 1399290 1492576 1608240 1715456 1865720 2144320 2238864 2573184 2798580 2985152 3216480 3731440 4288640 4477728 5146368 5597160 5970304 6432960 7462880 8577280 8955456 11194320 11940608 12865920 14925760 17910912 22388640 25731840 29851520 35821824 44777280 59703040 89554560 179109120 312554743 625109486 937664229 1250218972 1562773715 1875328458 2500437944 3125547430 3750656916 4688321145 5000875888 6251094860 7501313832 9376642290 10001751776 12502189720 15002627664 18753284580 20003503552 25004379440 30005255328 37506569160 40007007104 50008758880 60010510656 75013138320 80014014208 100017517760 120021021312 150026276640 200035035520 240042042624 300052553280 400070071040 600105106560 1200210213120