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1200213133000 = 235371229139511
BaseRepresentation
bin10001011101110010010…
…001110000011011001000
311020201221220202101111021
4101131302101300123020
5124131014030224000
62315211552442224
7152466254206030
oct21356221603310
94221856671437
101200213133000
1142300a02a072
12174738b49374
13892447bc8cb
144213a9688c0
152134878b11a
hex117724706c8

1200213133000 has 128 divisors (see below), whose sum is σ = 3212347507200. Its totient is φ = 411163872000.

The previous prime is 1200213132973. The next prime is 1200213133039. The reversal of 1200213133000 is 3313120021.

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, 8533245 + ... + 8672755.

It is an arithmetic number, because the mean of its divisors is an integer number (25096464900).

Almost surely, 21200213133000 is an apocalyptic number.

1200213133000 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 1200213133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606173753600).

1200213133000 is an abundant number, since it is smaller than the sum of its proper divisors (2012134374200).

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

1200213133000 is a wasteful number, since it uses less digits than its factorization.

1200213133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140768 (or 140754 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1200213133000 its reverse (3313120021), we get a palindrome (1203526253021).

The spelling of 1200213133000 in words is "one trillion, two hundred billion, two hundred thirteen million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1229 1400 1750 2458 3500 4916 6145 7000 8603 9832 12290 17206 24580 30725 34412 43015 49160 61450 68824 86030 122900 139511 153625 172060 215075 245800 279022 307250 344120 430150 558044 614500 697555 860300 976577 1075375 1116088 1229000 1395110 1720600 1953154 2150750 2790220 3487775 3906308 4301500 4882885 5580440 6975550 7812616 8603000 9765770 13951100 17438875 19531540 24414425 27902200 34877750 39063080 48828850 69755500 97657700 122072125 139511000 171459019 195315400 244144250 342918038 488288500 685836076 857295095 976577000 1200213133 1371672152 1714590190 2400426266 3429180380 4286475475 4800852532 6001065665 6858360760 8572950950 9601705064 12002131330 17145901900 21432377375 24004262660 30005328325 34291803800 42864754750 48008525320 60010656650 85729509500 120021313300 150026641625 171459019000 240042626600 300053283250 600106566500 1200213133000