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121422400 = 2652116899
BaseRepresentation
bin1110011110011…
…00001001000000
322110110220012221
413033030021000
5222041004100
620014300424
73003034111
oct717141100
9273426187
10121422400
11625a34a0
12347b7714
131c204498
14121aa208
15a9d701a
hex73cc240

121422400 has 84 divisors (see below), whose sum is σ = 325983600. Its totient is φ = 44147200.

The previous prime is 121422373. The next prime is 121422401. The reversal of 121422400 is 4224121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (121422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14151 + ... + 21049.

Almost surely, 2121422400 is an apocalyptic number.

121422400 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 121422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162991800).

121422400 is an abundant number, since it is smaller than the sum of its proper divisors (204561200).

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

121422400 is a wasteful number, since it uses less digits than its factorization.

121422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 121422400 is about 11019.1832728202. The cubic root of 121422400 is about 495.1836206166.

Adding to 121422400 its reverse (4224121), we get a palindrome (125646521).

The spelling of 121422400 in words is "one hundred twenty-one million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 6899 8800 13798 17600 27596 34495 55192 68990 75889 110384 137980 151778 172475 220768 275960 303556 344950 379445 441536 551920 607112 689900 758890 1103840 1214224 1379800 1517780 1897225 2207680 2428448 2759600 3035560 3794450 4856896 5519200 6071120 7588900 11038400 12142240 15177800 24284480 30355600 60711200 121422400