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121131223120 = 2451514140289
BaseRepresentation
bin111000011001111111…
…0111100100001010000
3102120122211202200220001
41300303332330201100
53441034043114440
6131351422255344
711515513256665
oct1606376744120
9376584680801
10121131223120
114740a465866
121b586727554
13b56567a96b
145c11691a6c
15323e457b9a
hex1c33fbc850

121131223120 has 20 divisors (see below), whose sum is σ = 281630093940. Its totient is φ = 48452489216.

The previous prime is 121131223111. The next prime is 121131223163. The reversal of 121131223120 is 21322131121.

It can be written as a sum of positive squares in 2 ways, for example, as 56741145616 + 64390077504 = 238204^2 + 253752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 757070065 + ... + 757070224.

It is an arithmetic number, because the mean of its divisors is an integer number (14081504697).

Almost surely, 2121131223120 is an apocalyptic number.

121131223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121131223120 is an abundant number, since it is smaller than the sum of its proper divisors (160498870820).

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

121131223120 is a wasteful number, since it uses less digits than its factorization.

121131223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514140302 (or 1514140296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 121131223120 its reverse (21322131121), we get a palindrome (142453354241).

The spelling of 121131223120 in words is "one hundred twenty-one billion, one hundred thirty-one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1514140289 3028280578 6056561156 7570701445 12113122312 15141402890 24226244624 30282805780 60565611560 121131223120