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12002210110000 = 245411592238293
BaseRepresentation
bin1010111010100111101101…
…1110000101101000110000
31120111101210122210022202101
42232221323132011220300
53033121011242010000
641305423400230144
72346062645436625
oct256517336055060
946441718708671
1012002210110000
11390812178a1a0
12141a137a6b354
13690a5a550b96
142d6ca532c34c
1515c311e87e6a
hexaea7b785a30

12002210110000 has 400 divisors, whose sum is σ = 32385997163520. Its totient is φ = 4270711680000.

The previous prime is 12002210109983. The next prime is 12002210110001. The reversal of 12002210110000 is 1101220021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12002210110001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1447265854 + ... + 1447274146.

Almost surely, 212002210110000 is an apocalyptic number.

12002210110000 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 12002210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16192998581760).

12002210110000 is an abundant number, since it is smaller than the sum of its proper divisors (20383787053520).

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

12002210110000 is a wasteful number, since it uses less digits than its factorization.

12002210110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12002210110000 its reverse (1101220021), we get a palindrome (12003311330021).

The spelling of 12002210110000 in words is "twelve trillion, two billion, two hundred ten million, one hundred ten thousand".