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12212002210000 = 24549741930047
BaseRepresentation
bin1011000110110101010000…
…0011011100000011010000
31121020110022102122020012011
42301231110003130003100
53100040140031210000
641550041045112304
72400200541036265
oct261552403340320
947213272566164
1012212002210000
11398909897701a
1214529269b8694
136a7782468468
143030c7ad526c
151629dee002ba
hexb1b540dc0d0

12212002210000 has 200 divisors, whose sum is σ = 29943575988480. Its totient is φ = 4822743552000.

The previous prime is 12212002209983. The next prime is 12212002210049. The reversal of 12212002210000 is 1220021221.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 406414977 + ... + 406445023.

Almost surely, 212212002210000 is an apocalyptic number.

12212002210000 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 12212002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971787994240).

12212002210000 is an abundant number, since it is smaller than the sum of its proper divisors (17731573778480).

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

12212002210000 is an equidigital number, since it uses as much as digits as its factorization.

12212002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30591 (or 30570 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12212002210000 its reverse (1220021221), we get a palindrome (12213222231221).

The spelling of 12212002210000 in words is "twelve trillion, two hundred twelve billion, two million, two hundred ten thousand".