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12210000222000 = 2435372371122449
BaseRepresentation
bin1011000110101101110010…
…1110011101011100110000
31121020021010220112200221110
42301223130232131130300
53100022040024101000
641545110251353320
72400100121314500
oct261533456353460
947207126480843
1012210000222000
1139882608a1889
121452468452840
136a7523776289
14302d77c7da00
15162924298850
hexb1adcb9d730

12210000222000 has 480 divisors, whose sum is σ = 47029649284800. Its totient is φ = 2715426201600.

The previous prime is 12210000221999. The next prime is 12210000222001. The reversal of 12210000222000 is 22200001221.

It is an interprime number because it is at equal distance from previous prime (12210000221999) and next prime (12210000222001).

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

It is not an unprimeable number, because it can be changed into a prime (12210000222001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10316776 + ... + 11439224.

It is an arithmetic number, because the mean of its divisors is an integer number (97978436010).

Almost surely, 212210000222000 is an apocalyptic number.

12210000222000 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 12210000222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514824642400).

12210000222000 is an abundant number, since it is smaller than the sum of its proper divisors (34819649062800).

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

12210000222000 is a wasteful number, since it uses less digits than its factorization.

12210000222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122526 (or 1122503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12210000222000 its reverse (22200001221), we get a palindrome (12232200223221).

The spelling of 12210000222000 in words is "twelve trillion, two hundred ten billion, two hundred twenty-two thousand".