Search a number
-
+
2212121030000 = 2454736178737
BaseRepresentation
bin100000001100001100101…
…100000010110101110000
321211110212111222122202112
4200030030230002311300
5242220410440430000
64412122342504452
7315551264336660
oct40141454026560
97743774878675
102212121030000
11783178719252
122b8882a35128
131307a9b12a3b
14790d26961a0
153c82062d235
hex2030cb02d70

2212121030000 has 200 divisors, whose sum is σ = 6123268701792. Its totient is φ = 758145024000.

The previous prime is 2212121029891. The next prime is 2212121030003. The reversal of 2212121030000 is 301212122.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212121030003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 253185632 + ... + 253194368.

Almost surely, 22212121030000 is an apocalyptic number.

2212121030000 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 2212121030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061634350896).

2212121030000 is an abundant number, since it is smaller than the sum of its proper divisors (3911147671792).

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

2212121030000 is an equidigital number, since it uses as much as digits as its factorization.

2212121030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12389 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2212121030000 its reverse (301212122), we get a palindrome (2212422242122).

The spelling of 2212121030000 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, thirty thousand".