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221212002000 = 24353117147207
BaseRepresentation
bin1100111000000101000…
…0110100011011010000
3210010222122102000221010
43032001100310123100
512111020233031000
6245342352530520
721660560664303
oct3160120643320
9703878360833
10221212002000
11858a7454270
1236a57550a40
1317b24b31152
14a9c733cb3a
155b4a7ebd50
hex33814346d0

221212002000 has 320 divisors, whose sum is σ = 788997500928. Its totient is φ = 52870720000.

The previous prime is 221212001987. The next prime is 221212002007. The reversal of 221212002000 is 200212122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212002007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4662397 + ... + 4709603.

Almost surely, 2221212002000 is an apocalyptic number.

221212002000 is a gapful number since it is divisible by the number (20) 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 221212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394498750464).

221212002000 is an abundant number, since it is smaller than the sum of its proper divisors (567785498928).

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

221212002000 is a wasteful number, since it uses less digits than its factorization.

221212002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47315 (or 47299 counting only the distinct ones).

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

Adding to 221212002000 its reverse (200212122), we get a palindrome (221412214122).

The spelling of 221212002000 in words is "two hundred twenty-one billion, two hundred twelve million, two thousand".