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12121102210000 = 24547873719819
BaseRepresentation
bin1011000001100010100111…
…1111011101001111010000
31120220202200110020210011111
42300120221333131033100
53042043004131210000
641440205114423104
72360502132554110
oct260305177351720
946822613223144
1012121102210000
113953592223683
121439198731a94
1369c02704c804
142dc94347b040
1516046ea46cba
hexb0629fdd3d0

12121102210000 has 200 divisors, whose sum is σ = 33544274646080. Its totient is φ = 4155121152000.

The previous prime is 12121102209991. The next prime is 12121102210031. The reversal of 12121102210000 is 1220112121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×121211022100002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 611580091 + ... + 611599909.

Almost surely, 212121102210000 is an apocalyptic number.

12121102210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121102210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16772137323040).

12121102210000 is an abundant number, since it is smaller than the sum of its proper divisors (21423172436080).

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

12121102210000 is an equidigital number, since it uses as much as digits as its factorization.

12121102210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28591 (or 28570 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12121102210000 its reverse (1220112121), we get a palindrome (12122322322121).

The spelling of 12121102210000 in words is "twelve trillion, one hundred twenty-one billion, one hundred two million, two hundred ten thousand".