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12100222221120 = 263451142439051
BaseRepresentation
bin1011000000010100110101…
…1100100111101101000000
31120211202210021212110010000
42300011031130213231000
53041222223342033440
641422433152040000
72356132533565005
oct260051534475500
946752707773100
1012100222221120
113945747a9aa20
12143512bb33000
1369a07a2669c7
142db9223678ac
1515eb4b903730
hexb014d727b40

12100222221120 has 280 divisors, whose sum is σ = 46955585670048. Its totient is φ = 2933387136000.

The previous prime is 12100222221097. The next prime is 12100222221133. The reversal of 12100222221120 is 2112222200121.

It is a happy number.

12100222221120 is a `hidden beast` number, since 1 + 2 + 100 + 222 + 221 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12100222221093 and 12100222221102.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 20934406 + ... + 21504645.

Almost surely, 212100222221120 is an apocalyptic number.

12100222221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100222221120 is an abundant number, since it is smaller than the sum of its proper divisors (34855363448928).

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

12100222221120 is a wasteful number, since it uses less digits than its factorization.

12100222221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42439091 (or 42439072 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12100222221120 its reverse (2112222200121), we get a palindrome (14212444421241).

The spelling of 12100222221120 in words is "twelve trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".