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121100133220 = 2251110113939209
BaseRepresentation
bin111000011001000100…
…0010110001101100100
3102120120200021011120021
41300302020112031210
53441003113230340
6131344352044524
711514655101613
oct1606210261544
9376520234507
10121100133220
11473a3960530
121b578233744
13b55c0b3881
145c0b4bb87a
15323b865e4a
hex1c32216364

121100133220 has 96 divisors (see below), whose sum is σ = 282199075200. Its totient is φ = 43285632000.

The previous prime is 121100133191. The next prime is 121100133221. The reversal of 121100133220 is 22331001121.

It is a junction number, because it is equal to n+sod(n) for n = 121100133194 and 121100133203.

It is not an unprimeable number, because it can be changed into a prime (121100133221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068976 + ... + 3108184.

It is an arithmetic number, because the mean of its divisors is an integer number (2939573700).

Almost surely, 2121100133220 is an apocalyptic number.

121100133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121100133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141099537600).

121100133220 is an abundant number, since it is smaller than the sum of its proper divisors (161098941980).

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

121100133220 is a wasteful number, since it uses less digits than its factorization.

121100133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39469 (or 39467 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121100133220 its reverse (22331001121), we get a palindrome (143431134341).

The spelling of 121100133220 in words is "one hundred twenty-one billion, one hundred million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 139 202 220 278 404 505 556 695 1010 1111 1390 1529 2020 2222 2780 3058 4444 5555 6116 7645 11110 14039 15290 22220 28078 30580 39209 56156 70195 78418 140390 154429 156836 196045 280780 308858 392090 431299 617716 772145 784180 862598 1544290 1725196 2156495 3088580 3960109 4312990 5450051 7920218 8625980 10900102 15840436 19800545 21800204 27250255 39601090 43561199 54500510 59950561 79202180 87122398 109001020 119901122 174244796 217805995 239802244 299752805 435611990 550455151 599505610 871223980 1100910302 1199011220 2201820604 2752275755 5504551510 6055006661 11009103020 12110013322 24220026644 30275033305 60550066610 121100133220