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121390800 = 24352101159
BaseRepresentation
bin1110011110001…
…00011011010000
322110102021212120
413033010123100
5222034001200
620013454240
73002543016
oct717043320
9273367776
10121390800
1162581783
12347a1380
131c1c2c9b
141219c8b6
15a9cc9a0
hex73c46d0

121390800 has 60 divisors (see below), whose sum is σ = 388859040. Its totient is φ = 32370560.

The previous prime is 121390799. The next prime is 121390811. The reversal of 121390800 is 8093121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49380 + ... + 51779.

It is an arithmetic number, because the mean of its divisors is an integer number (6480984).

Almost surely, 2121390800 is an apocalyptic number.

121390800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121390800 is an abundant number, since it is smaller than the sum of its proper divisors (267468240).

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

121390800 is a wasteful number, since it uses less digits than its factorization.

121390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101180 (or 101169 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 121390800 is about 11017.7493164439. The cubic root of 121390800 is about 495.1406599546.

The spelling of 121390800 in words is "one hundred twenty-one million, three hundred ninety thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 101159 202318 303477 404636 505795 606954 809272 1011590 1213908 1517385 1618544 2023180 2427816 2528975 3034770 4046360 4855632 5057950 6069540 7586925 8092720 10115900 12139080 15173850 20231800 24278160 30347700 40463600 60695400 121390800