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121220000100 = 223252134688889
BaseRepresentation
bin111000011100101000…
…1100110100101100100
3102120220000211001000100
41300321101212211210
53441224310000400
6131404313144100
711520642000003
oct1607121464544
9376800731010
10121220000100
1147455591271
121b5b03bb030
13b57ab92014
145c1d3a0c3a
153247142100
hex1c39466964

121220000100 has 54 divisors (see below), whose sum is σ = 379957358690. Its totient is φ = 32325333120.

The previous prime is 121220000059. The next prime is 121220000123. The reversal of 121220000100 is 1000022121.

It can be written as a sum of positive squares in 3 ways, for example, as 24321026304 + 96898973796 = 155952^2 + 311286^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 67343545 + ... + 67345344.

Almost surely, 2121220000100 is an apocalyptic number.

121220000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121220000100 is an abundant number, since it is smaller than the sum of its proper divisors (258737358590).

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

121220000100 is a wasteful number, since it uses less digits than its factorization.

121220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134688909 (or 134688899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121220000100 its reverse (1000022121), we get a palindrome (122220022221).

It can be divided in two parts, 121220000 and 100, that added together give a square (121220100 = 110102).

The spelling of 121220000100 in words is "one hundred twenty-one billion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 134688889 269377778 404066667 538755556 673444445 808133334 1212200001 1346888890 1616266668 2020333335 2424400002 2693777780 3367222225 4040666670 4848800004 6061000005 6734444450 8081333340 10101666675 12122000010 13468888900 20203333350 24244000020 30305000025 40406666700 60610000050 121220000100