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2122220000032 = 25112310713118701
BaseRepresentation
bin11110111000011110001…
…010110101001100100000
321111212211011100010222221
4132320132022311030200
5234232301310000112
64302533455440424
7306216406235536
oct36703612651440
97455734303887
102122220000032
11749034955880
122a3373226114
13125180663512
1474a0499c156
153a30cd00e07
hex1ee1e2b5320

2122220000032 has 192 divisors, whose sum is σ = 4837475478528. Its totient is φ = 907054720000.

The previous prime is 2122220000023. The next prime is 2122220000041. The reversal of 2122220000032 is 2300000222212.

It is an interprime number because it is at equal distance from previous prime (2122220000023) and next prime (2122220000041).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2122219999970 and 2122220000015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113472282 + ... + 113490982.

It is an arithmetic number, because the mean of its divisors is an integer number (25195184784).

Almost surely, 22122220000032 is an apocalyptic number.

2122220000032 is a gapful number since it is divisible by the number (22) 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 2122220000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418737739264).

2122220000032 is an abundant number, since it is smaller than the sum of its proper divisors (2715255478496).

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

2122220000032 is a wasteful number, since it uses less digits than its factorization.

2122220000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18983 (or 18975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2122220000032 its reverse (2300000222212), we get a palindrome (4422220222244).

The spelling of 2122220000032 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, thirty-two", and thus it is an aban number.