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122421125000 = 2356979369
BaseRepresentation
bin111001000000011011…
…1100001111110001000
3102200222201221111121202
41302000313201332020
54001204302000000
6132123421323332
711562465251606
oct1620067417610
9380881844552
10122421125000
1147a11596179
121b886706548
13b70c98b505
145cd4b04876
1532b7800dd5
hex1c80de1f88

122421125000 has 56 divisors (see below), whose sum is σ = 286921132050. Its totient is φ = 48968400000.

The previous prime is 122421124981. The next prime is 122421125009. The reversal of 122421125000 is 521124221.

It can be written as a sum of positive squares in 7 ways, for example, as 94926842404 + 27494282596 = 308102^2 + 165814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (122421125009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 364685 + ... + 614684.

Almost surely, 2122421125000 is an apocalyptic number.

122421125000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122421125000 is an abundant number, since it is smaller than the sum of its proper divisors (164500007050).

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

122421125000 is an frugal number, since it uses more digits than its factorization.

122421125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979405 (or 979376 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 122421125000 its reverse (521124221), we get a palindrome (122942249221).

The spelling of 122421125000 in words is "one hundred twenty-two billion, four hundred twenty-one million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 25000 31250 62500 125000 979369 1958738 3917476 4896845 7834952 9793690 19587380 24484225 39174760 48968450 97936900 122421125 195873800 244842250 489684500 612105625 979369000 1224211250 2448422500 3060528125 4896845000 6121056250 12242112500 15302640625 24484225000 30605281250 61210562500 122421125000