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12210012222100 = 22527211839270001
BaseRepresentation
bin1011000110101101110101…
…1100001111001010010100
31121020021011202010100222121
42301223131130033022110
53100022101112101400
641545111400505324
72400100325314300
oct261533534171224
947207152110877
1012210012222100
113988267648720
12145247047b244
136a75260b8324
14302d796c4d00
1516292536921a
hexb1add70f294

12210012222100 has 216 divisors, whose sum is σ = 33663719759040. Its totient is φ = 3801168000000.

The previous prime is 12210012222097. The next prime is 12210012222113. The reversal of 12210012222100 is 122221001221.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 45087100 + ... + 45357100.

It is an arithmetic number, because the mean of its divisors is an integer number (155850554440).

Almost surely, 212210012222100 is an apocalyptic number.

12210012222100 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 12210012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831859879520).

12210012222100 is an abundant number, since it is smaller than the sum of its proper divisors (21453707536940).

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

12210012222100 is a wasteful number, since it uses less digits than its factorization.

12210012222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270879 (or 270865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12210012222100 its reverse (122221001221), we get a palindrome (12332233223321).

The spelling of 12210012222100 in words is "twelve trillion, two hundred ten billion, twelve million, two hundred twenty-two thousand, one hundred".