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121220021000 = 2353139324617
BaseRepresentation
bin111000011100101000…
…1101011101100001000
3102120220000212002200102
41300321101223230020
53441224311133000
6131404313424532
711520642114641
oct1607121535410
9376800762612
10121220021000
11474555a5a41
121b5b040b148
13b57ab9b6a0
145c1d3a86c8
1532471483d5
hex1c3946bb08

121220021000 has 64 divisors (see below), whose sum is σ = 305474485680. Its totient is φ = 44758156800.

The previous prime is 121220020991. The next prime is 121220021057. The reversal of 121220021000 is 120022121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47803396 + 121172217604 = 6914^2 + 348098^2 .

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 15 ways as a sum of consecutive naturals, for example, 4649309 + ... + 4675308.

Almost surely, 2121220021000 is an apocalyptic number.

121220021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121220021000 is an abundant number, since it is smaller than the sum of its proper divisors (184254464680).

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

121220021000 is a wasteful number, since it uses less digits than its factorization.

121220021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324651 (or 9324637 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121220021000 its reverse (120022121), we get a palindrome (121340043121).

The spelling of 121220021000 in words is "one hundred twenty-one billion, two hundred twenty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 9324617 18649234 37298468 46623085 74596936 93246170 121220021 186492340 233115425 242440042 372984680 466230850 484880084 606100105 932461700 969760168 1165577125 1212200210 1864923400 2331154250 2424400420 3030500525 4662308500 4848800840 6061001050 9324617000 12122002100 15152502625 24244004200 30305005250 60610010500 121220021000