Search a number
-
+
122531141200 = 24521323563681
BaseRepresentation
bin111001000011101101…
…1001101011001010000
3102201021101221220110211
41302013123031121100
54001420433004300
6132142351333504
711565302341546
oct1620733153120
9381241856424
10122531141200
1147a686a8a56
121b8b7521294
13b7296cb060
145d05581d96
1532c22d34ba
hex1c876cd650

122531141200 has 60 divisors (see below), whose sum is σ = 317025777628. Its totient is φ = 45242265600.

The previous prime is 122531141101. The next prime is 122531141203. The reversal of 122531141200 is 2141135221.

It can be written as a sum of positive squares in 6 ways, for example, as 629608464 + 121901532736 = 25092^2 + 349144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122531141203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11776641 + ... + 11787040.

Almost surely, 2122531141200 is an apocalyptic number.

122531141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122531141200 is an abundant number, since it is smaller than the sum of its proper divisors (194494636428).

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

122531141200 is a wasteful number, since it uses less digits than its factorization.

122531141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23563712 (or 23563701 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 122531141200 its reverse (2141135221), we get a palindrome (124672276421).

The spelling of 122531141200 in words is "one hundred twenty-two billion, five hundred thirty-one million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 23563681 47127362 94254724 117818405 188509448 235636810 306327853 377018896 471273620 589092025 612655706 942547240 1178184050 1225311412 1531639265 1885094480 2356368100 2450622824 3063278530 4712736200 4901245648 6126557060 7658196325 9425472400 12253114120 15316392650 24506228240 30632785300 61265570600 122531141200