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121444000 = 255397313
BaseRepresentation
bin1110011110100…
…01011010100000
322110111222211221
413033101122200
5222042202000
620014544424
73003154066
oct717213240
9273458757
10121444000
1162608747
1234808114
131c211272
14121b4036
15a9dd61a
hex73d16a0

121444000 has 96 divisors (see below), whose sum is σ = 302427216. Its totient is φ = 47923200.

The previous prime is 121443989. The next prime is 121444013. The reversal of 121444000 is 444121.

It can be written as a sum of positive squares in 8 ways, for example, as 4717584 + 116726416 = 2172^2 + 10804^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 387844 + ... + 388156.

Almost surely, 2121444000 is an apocalyptic number.

121444000 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 121444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151213608).

121444000 is an abundant number, since it is smaller than the sum of its proper divisors (180983216).

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

121444000 is an equidigital number, since it uses as much as digits as its factorization.

121444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

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

The square root of 121444000 is about 11020.1633381724. The cubic root of 121444000 is about 495.2129818438.

Adding to 121444000 its reverse (444121), we get a palindrome (121888121).

The spelling of 121444000 in words is "one hundred twenty-one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 313 388 400 485 500 626 776 800 970 1000 1252 1552 1565 1940 2000 2425 2504 3104 3130 3880 4000 4850 5008 6260 7760 7825 9700 10016 12125 12520 15520 15650 19400 24250 25040 30361 31300 38800 39125 48500 50080 60722 62600 77600 78250 97000 121444 125200 151805 156500 194000 242888 250400 303610 313000 388000 485776 607220 626000 759025 971552 1214440 1252000 1518050 2428880 3036100 3795125 4857760 6072200 7590250 12144400 15180500 24288800 30361000 60722000 121444000