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121211100020 = 22519216788241
BaseRepresentation
bin111000011100010111…
…1101001101101110100
3102120212102001212101202
41300320233221231310
53441220020200040
6131403354312032
711520503231153
oct1607057515564
9376772055352
10121211100020
114745056252a
121b5a9428618
13b579096cba
145c1c12559a
153246485015
hex1c38be9b74

121211100020 has 36 divisors (see below), whose sum is σ = 268645448484. Its totient is φ = 45932624640.

The previous prime is 121211099983. The next prime is 121211100029. The reversal of 121211100020 is 20001112121.

It can be written as a sum of positive squares in 2 ways, for example, as 94436977636 + 26774122384 = 307306^2 + 163628^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121211099974 and 121211100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121211100029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8386901 + ... + 8401340.

It is an arithmetic number, because the mean of its divisors is an integer number (7462373569).

Almost surely, 2121211100020 is an apocalyptic number.

121211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211100020 is an abundant number, since it is smaller than the sum of its proper divisors (147434348464).

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

121211100020 is a wasteful number, since it uses less digits than its factorization.

121211100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788288 (or 16788267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121211100020 its reverse (20001112121), we get a palindrome (141212212141).

The spelling of 121211100020 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 16788241 33576482 67152964 83941205 167882410 318976579 335764820 637953158 1275906316 1594882895 3189765790 6060555001 6379531580 12121110002 24242220004 30302775005 60605550010 121211100020