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121301400 = 233521118379
BaseRepresentation
bin1110011101011…
…10100110011000
322110020202020110
413032232212120
5222023121100
620011524320
73002021253
oct716564630
9273222213
10121301400
11625205a0
12347596a0
131c19139c
141217809a
15a9b1250
hex73ae998

121301400 has 96 divisors (see below), whose sum is σ = 410241600. Its totient is φ = 29404800.

The previous prime is 121301387. The next prime is 121301449. The reversal of 121301400 is 4103121.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2590 + ... + 15789.

It is an arithmetic number, because the mean of its divisors is an integer number (4273350).

Almost surely, 2121301400 is an apocalyptic number.

121301400 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 121301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205120800).

121301400 is an abundant number, since it is smaller than the sum of its proper divisors (288940200).

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

121301400 is a wasteful number, since it uses less digits than its factorization.

121301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18409 (or 18400 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121301400 is about 11013.6914792453. The cubic root of 121301400 is about 495.0190789504.

Adding to 121301400 its reverse (4103121), we get a palindrome (125404521).

It can be divided in two parts, 12130 and 1400, that added together give a triangular number (13530 = T164).

The spelling of 121301400 in words is "one hundred twenty-one million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 18379 36758 55137 73516 91895 110274 147032 183790 202169 220548 275685 367580 404338 441096 459475 551370 606507 735160 808676 918950 1010845 1102740 1213014 1378425 1617352 1837900 2021690 2205480 2426028 2756850 3032535 3675800 4043380 4852056 5054225 5513700 6065070 8086760 10108450 11027400 12130140 15162675 20216900 24260280 30325350 40433800 60650700 121301400