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1221020131120 = 24585313178903
BaseRepresentation
bin10001110001001010011…
…110001001111100110000
311022201122222210102001021
4101301022132021330300
5130001122123143440
62332532350545224
7154134005604106
oct21611236117460
94281588712037
101221020131120
11430917039789
12178785208214
138b1ac42a80a
14431520bbc76
1521b652b284a
hex11c4a789f30

1221020131120 has 40 divisors (see below), whose sum is σ = 2838920949216. Its totient is φ = 488399597568.

The previous prime is 1221020131117. The next prime is 1221020131153. The reversal of 1221020131120 is 211310201221.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 1221020131094 and 1221020131103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6735589 + ... + 6914491.

Almost surely, 21221020131120 is an apocalyptic number.

1221020131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221020131120 is an abundant number, since it is smaller than the sum of its proper divisors (1617900818096).

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

1221020131120 is a wasteful number, since it uses less digits than its factorization.

1221020131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264229 (or 264223 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1221020131120 its reverse (211310201221), we get a palindrome (1432330332341).

The spelling of 1221020131120 in words is "one trillion, two hundred twenty-one billion, twenty million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 85313 170626 178903 341252 357806 426565 682504 715612 853130 894515 1365008 1431224 1706260 1789030 2862448 3412520 3578060 6825040 7156120 14312240 15262751639 30525503278 61051006556 76313758195 122102013112 152627516390 244204026224 305255032780 610510065560 1221020131120