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2212122121000 = 235311220119091
BaseRepresentation
bin100000001100001100110…
…000001101001100101000
321211110212121001002022221
4200030030300031030220
5242220411230333000
64412122422123424
7315551306532511
oct40141460151450
97743777032287
102212122121000
117831792a3a00
122b8883280574
131307aa1054bc
14790d289ba08
153c82079661a
hex2030cc0d328

2212122121000 has 192 divisors, whose sum is σ = 5693179826880. Its totient is φ = 803919600000.

The previous prime is 2212122120991. The next prime is 2212122121003. The reversal of 2212122121000 is 1212212122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2212122121003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243326455 + ... + 243335545.

It is an arithmetic number, because the mean of its divisors is an integer number (29651978265).

Almost surely, 22212122121000 is an apocalyptic number.

2212122121000 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 2212122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846589913440).

2212122121000 is an abundant number, since it is smaller than the sum of its proper divisors (3481057705880).

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

2212122121000 is a wasteful number, since it uses less digits than its factorization.

2212122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212122121000 its reverse (1212212122), we get a palindrome (2213334333122).

The spelling of 2212122121000 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty-one thousand".