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12210011220000 = 253541118500017
BaseRepresentation
bin1011000110101101110101…
…1000011010100000100000
31121020021011200020110100210
42301223131120122200200
53100022100333020000
641545111323214120
72400100313641566
oct261533530324040
947207150213323
1012210011220000
113988267023840
121452470077340
136a7525b27179
14302d79503a36
1516292521c350
hexb1add61a820

12210011220000 has 240 divisors, whose sum is σ = 43692306511392. Its totient is φ = 2960002560000.

The previous prime is 12210011219971. The next prime is 12210011220031. The reversal of 12210011220000 is 2211001221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8590009 + ... + 9910008.

Almost surely, 212210011220000 is an apocalyptic number.

12210011220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210011220000 is an abundant number, since it is smaller than the sum of its proper divisors (31482295291392).

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

12210011220000 is a wasteful number, since it uses less digits than its factorization.

12210011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18500061 (or 18500038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12210011220000 its reverse (2211001221), we get a palindrome (12212222221221).

The spelling of 12210011220000 in words is "twelve trillion, two hundred ten billion, eleven million, two hundred twenty thousand".