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121201120211020 = 22585952331348133
BaseRepresentation
bin11011100011101101010101…
…101101110111000001001100
3120220010201021110100202112221
4123203231111231313001030
5111341224343233223040
61105435005335305124
734346330513421433
oct3343552555670114
9526121243322487
10121201120211020
113568911971a433
1211715709b1b1a4
1352822a7b20825
1421d024627811a
15e02abc86a74a
hex6e3b55b7704c

121201120211020 has 48 divisors (see below), whose sum is σ = 254867536818720. Its totient is φ = 48414720347136.

The previous prime is 121201120210987. The next prime is 121201120211021. The reversal of 121201120211020 is 20112021102121.

121201120211020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1212011202110203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 121201120210985 and 121201120211003.

It is not an unprimeable number, because it can be changed into a prime (121201120211021) 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, 89228874 + ... + 90577006.

It is an arithmetic number, because the mean of its divisors is an integer number (5309740350390).

Almost surely, 2121201120211020 is an apocalyptic number.

121201120211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201120211020 is an abundant number, since it is smaller than the sum of its proper divisors (133666416607700).

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

121201120211020 is a wasteful number, since it uses less digits than its factorization.

121201120211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354234 (or 1354232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121201120211020 its reverse (20112021102121), we get a palindrome (141313141313141).

The spelling of 121201120211020 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 859 1718 3436 4295 5233 8590 10466 17180 20932 26165 52330 104660 1348133 2696266 4495147 5392532 6740665 8990294 13481330 17980588 22475735 26962660 44951470 89902940 1158046247 2316092494 4632184988 5790231235 7054779989 11580462470 14109559978 23160924940 28219119956 35273899945 70547799890 141095599780 6060056010551 12120112021102 24240224042204 30300280052755 60600560105510 121201120211020