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1200010021120 = 2857383915307
BaseRepresentation
bin10001011101100110001…
…010111100100100000000
311020201102202120020101001
4101131212022330210000
5124130110031133440
62315135455221344
7152461236611101
oct21354612744400
94221382506331
101200010021120
11422a15411109
121746a0b17854
13892116b6071
144211b9b63a8
1521335a19b9a
hex117662bc900

1200010021120 has 144 divisors (see below), whose sum is σ = 2917437828480. Its totient is φ = 472833441792.

The previous prime is 1200010021081. The next prime is 1200010021127. The reversal of 1200010021120 is 211200100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1200010021097 and 1200010021106.

It is not an unprimeable number, because it can be changed into a prime (1200010021127) by changing a digit.

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, 78388507 + ... + 78403813.

It is an arithmetic number, because the mean of its divisors is an integer number (20259984920).

Almost surely, 21200010021120 is an apocalyptic number.

1200010021120 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 1200010021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458718914240).

1200010021120 is an abundant number, since it is smaller than the sum of its proper divisors (1717427807360).

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

1200010021120 is an equidigital number, since it uses as much as digits as its factorization.

1200010021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16226 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1200010021120 its reverse (211200100021), we get a palindrome (1411210121141).

The spelling of 1200010021120 in words is "one trillion, two hundred billion, ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 839 1168 1280 1460 1678 2336 2920 3356 4195 4672 5840 6712 8390 9344 11680 13424 15307 16780 18688 23360 26848 30614 33560 46720 53696 61228 61247 67120 76535 93440 107392 122456 122494 134240 153070 214784 244912 244988 268480 306140 306235 489824 489976 536960 612280 612470 979648 979952 1073920 1117411 1224560 1224940 1959296 1959904 2234822 2449120 2449880 3918592 3919808 4469644 4898240 4899760 5587055 7839616 8939288 9796480 9799520 11174110 12842573 15679232 17878576 19592960 19599040 22348220 25685146 35757152 39198080 44696440 51370292 64212865 71514304 78396160 89392880 102740584 128425730 143028608 178785760 205481168 256851460 286057216 357571520 410962336 513702920 715143040 821924672 937507829 1027405840 1430286080 1643849344 1875015658 2054811680 3287698688 3750031316 4109623360 4687539145 7500062632 8219246720 9375078290 15000125264 16438493440 18750156580 30000250528 37500313160 60000501056 75000626320 120001002112 150001252640 240002004224 300002505280 600005010560 1200010021120