Search a number
-
+
121221100022020 = 22511353637654877
BaseRepresentation
bin11011100011111111111100…
…100110110010100100000100
3120220012121211212220022200221
4123203333330212302210010
5111342041303101201040
61105452112104114124
734350635602131325
oct3343777446624404
9526177755808627
10121221100022020
113569664180a129
1211719565165944
135284140279cbb
1421d11bd9c644c
15e0338b94974a
hex6e3ffc9b2904

121221100022020 has 24 divisors (see below), whose sum is σ = 256817091555864. Its totient is φ = 48059338768896.

The previous prime is 121221100021999. The next prime is 121221100022021. The reversal of 121221100022020 is 20220001122121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17093279897604 + 104127820124416 = 4134402^2 + 10204304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121221100021985 and 121221100022003.

It is not an unprimeable number, because it can be changed into a prime (121221100022021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26818825179 + ... + 26818829698.

It is an arithmetic number, because the mean of its divisors is an integer number (10700712148161).

Almost surely, 2121221100022020 is an apocalyptic number.

121221100022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221100022020 is an abundant number, since it is smaller than the sum of its proper divisors (135595991533844).

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

121221100022020 is a wasteful number, since it uses less digits than its factorization.

121221100022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53637654999 (or 53637654997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121221100022020 its reverse (20220001122121), we get a palindrome (141441101144141).

The spelling of 121221100022020 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 53637654877 107275309754 214550619508 268188274385 536376548770 1072753097540 6061055001101 12122110002202 24244220004404 30305275005505 60610550011010 121221100022020