Search a number
-
+
120201221200 = 24521387321661
BaseRepresentation
bin110111111110010001…
…1010001010001010000
3102111021000210201002111
41233330203101101100
53432133003034300
6131115241155104
711453461344064
oct1577443212120
9374230721074
10120201221200
1146a82501635
121b36718ba94
13b447aab478
145b63d65aa4
1531d79a19ba
hex1bfc8d1450

120201221200 has 60 divisors (see below), whose sum is σ = 288817583068. Its totient is φ = 48074803200.

The previous prime is 120201221149. The next prime is 120201221251. The reversal of 120201221200 is 2122102021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120201221149) and next prime (120201221251).

It can be written as a sum of positive squares in 6 ways, for example, as 7643655184 + 112557566016 = 87428^2 + 335496^2 .

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, 5538370 + ... + 5560030.

Almost surely, 2120201221200 is an apocalyptic number.

120201221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201221200 is an abundant number, since it is smaller than the sum of its proper divisors (168616361868).

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

120201221200 is a wasteful number, since it uses less digits than its factorization.

120201221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35552 (or 35541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120201221200 its reverse (2122102021), we get a palindrome (122323323221).

The spelling of 120201221200 in words is "one hundred twenty billion, two hundred one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 13873 21661 27746 43322 55492 69365 86644 108305 110984 138730 173288 216610 221968 277460 346576 346825 433220 541525 554920 693650 866440 1083050 1109840 1387300 1732880 2166100 2774600 4332200 5549200 8664400 300503053 601006106 1202012212 1502515265 2404024424 3005030530 4808048848 6010061060 7512576325 12020122120 15025152650 24040244240 30050305300 60100610600 120201221200