Search a number
-
+
122200121000 = 23531131081417
BaseRepresentation
bin111000111001110110…
…0011101111010101000
3102200102100002100010102
41301303230131322220
54000231212333000
6132045444404532
711554142614226
oct1616354357250
9380370070112
10122200121000
1147908867641
121b8246a6748
13b6a5c5bb09
145cb3615b16
1532a31e83d5
hex1c73b1dea8

122200121000 has 64 divisors (see below), whose sum is σ = 288479065680. Its totient is φ = 48447436800.

The previous prime is 122200120967. The next prime is 122200121009. The reversal of 122200121000 is 121002221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 249703204 + 121950417796 = 15802^2 + 349214^2 .

It is not an unprimeable number, because it can be changed into a prime (122200121009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427709 + ... + 653708.

Almost surely, 2122200121000 is an apocalyptic number.

122200121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200121000 is an abundant number, since it is smaller than the sum of its proper divisors (166278944680).

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

122200121000 is a wasteful number, since it uses less digits than its factorization.

122200121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081551 (or 1081537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122200121000 its reverse (121002221), we get a palindrome (122321123221).

The spelling of 122200121000 in words is "one hundred twenty-two billion, two hundred million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1130 2260 2825 4520 5650 11300 14125 22600 28250 56500 113000 1081417 2162834 4325668 5407085 8651336 10814170 21628340 27035425 43256680 54070850 108141700 122200121 135177125 216283400 244400242 270354250 488800484 540708500 611000605 977600968 1081417000 1222001210 2444002420 3055003025 4888004840 6110006050 12220012100 15275015125 24440024200 30550030250 61100060500 122200121000