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121322000 = 245360661
BaseRepresentation
bin1110011101100…
…11101000010000
322110021210111102
413032303220100
5222024301000
620012203532
73002135312
oct716635020
9273253442
10121322000
1162535018
12347695a8
131c19a887
14121817b2
15a9b73d5
hex73b3a10

121322000 has 40 divisors (see below), whose sum is σ = 293361432. Its totient is φ = 48528000.

The previous prime is 121321999. The next prime is 121322021. The reversal of 121322000 is 223121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18421264 + 102900736 = 4292^2 + 10144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 28331 + ... + 32330.

Almost surely, 2121322000 is an apocalyptic number.

121322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121322000 is an abundant number, since it is smaller than the sum of its proper divisors (172039432).

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

121322000 is an equidigital number, since it uses as much as digits as its factorization.

121322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60684 (or 60668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 121322000 is about 11014.6266391558. The cubic root of 121322000 is about 495.0470995553.

Adding to 121322000 its reverse (223121), we get a palindrome (121545121).

The spelling of 121322000 in words is "one hundred twenty-one million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60661 121322 242644 303305 485288 606610 970576 1213220 1516525 2426440 3033050 4852880 6066100 7582625 12132200 15165250 24264400 30330500 60661000 121322000