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121220002000 = 245360610001
BaseRepresentation
bin111000011100101000…
…1100111000011010000
3102120220000211010121201
41300321101213003100
53441224310031000
6131404313200544
711520642005356
oct1607121470320
9376800733551
10121220002000
1147455592739
121b5b0400154
13b57ab92b46
145c1d3a17d6
15324714296a
hex1c394670d0

121220002000 has 40 divisors (see below), whose sum is σ = 293109969672. Its totient is φ = 48488000000.

The previous prime is 121220001983. The next prime is 121220002003. The reversal of 121220002000 is 200022121.

It can be written as a sum of positive squares in 4 ways, for example, as 4384558656 + 116835443344 = 66216^2 + 341812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220002003) 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, 30303001 + ... + 30307000.

Almost surely, 2121220002000 is an apocalyptic number.

121220002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121220002000 is an abundant number, since it is smaller than the sum of its proper divisors (171889967672).

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

121220002000 is an equidigital number, since it uses as much as digits as its factorization.

121220002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60610024 (or 60610008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 121220002000 its reverse (200022121), we get a palindrome (121420024121).

The spelling of 121220002000 in words is "one hundred twenty-one billion, two hundred twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 60610001 121220002 242440004 303050005 484880008 606100010 969760016 1212200020 1515250025 2424400040 3030500050 4848800080 6061000100 7576250125 12122000200 15152500250 24244000400 30305000500 60610001000 121220002000