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12220011211120 = 2451499101901361
BaseRepresentation
bin1011000111010011000101…
…1011010110100101110000
31121021012222120222122022021
42301310301123112211300
53100203040332223440
641553443505521224
72400603161315626
oct261646133264560
947235876878267
1012220011211120
113991528832109
1214543a1043214
136a845a81058b
14303647663516
15162d0d0c784a
hexb1d316d6970

12220011211120 has 40 divisors (see below), whose sum is σ = 28430479998000. Its totient is φ = 4884743592960.

The previous prime is 12220011211091. The next prime is 12220011211139. The reversal of 12220011211120 is 2111211002221.

12220011211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12220011211094 and 12220011211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50830761 + ... + 51070600.

It is an arithmetic number, because the mean of its divisors is an integer number (710761999950).

Almost surely, 212220011211120 is an apocalyptic number.

12220011211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220011211120 is an abundant number, since it is smaller than the sum of its proper divisors (16210468786880).

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

12220011211120 is a wasteful number, since it uses less digits than its factorization.

12220011211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101902873 (or 101902867 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12220011211120 its reverse (2111211002221), we get a palindrome (14331222213341).

The spelling of 12220011211120 in words is "twelve trillion, two hundred twenty billion, eleven million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1499 2998 5996 7495 11992 14990 23984 29980 59960 119920 101901361 203802722 407605444 509506805 815210888 1019013610 1630421776 2038027220 4076054440 8152108880 152750140139 305500280278 611000560556 763750700695 1222001121112 1527501401390 2444002242224 3055002802780 6110005605560 12220011211120