Search a number
-
+
123221121140 = 22513236455953
BaseRepresentation
bin111001011000010001…
…1010001100001110100
3102210001111021112000102
41302300203101201310
54004324101334030
6132335040133232
711621351151065
oct1626043214164
9383044245012
10123221121140
1148292124107
121ba6a607218
13b80963c700
145d6d06c56c
153312b76c45
hex1cb08d1874

123221121140 has 36 divisors (see below), whose sum is σ = 280200462444. Its totient is φ = 45497028096.

The previous prime is 123221121139. The next prime is 123221121151. The reversal of 123221121140 is 41121122321.

It can be written as a sum of positive squares in 6 ways, for example, as 53256639076 + 69964482064 = 230774^2 + 264508^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18224597 + ... + 18231356.

It is an arithmetic number, because the mean of its divisors is an integer number (7783346179).

Almost surely, 2123221121140 is an apocalyptic number.

123221121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123221121140 is an abundant number, since it is smaller than the sum of its proper divisors (156979341304).

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

123221121140 is a wasteful number, since it uses less digits than its factorization.

123221121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36455988 (or 36455973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 123221121140 its reverse (41121122321), we get a palindrome (164342243461).

The spelling of 123221121140 in words is "one hundred twenty-three billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 36455953 72911906 145823812 182279765 364559530 473927389 729119060 947854778 1895709556 2369636945 4739273890 6161056057 9478547780 12322112114 24644224228 30805280285 61610560570 123221121140