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2220121022000 = 245371812693257
BaseRepresentation
bin100000010011101001100…
…001100101111000110000
321212020112001101100200112
4200103221201211320300
5242333301440201000
64415524242240452
7316253445214550
oct40235141457060
97766461340615
102220121022000
11786603490692
122ba336056128
1313148335230b
1479650d5b160
153cb3cb26235
hex204e9865e30

2220121022000 has 320 divisors, whose sum is σ = 6193876066560. Its totient is φ = 753933312000.

The previous prime is 2220121021981. The next prime is 2220121022027. The reversal of 2220121022000 is 2201210222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681644372 + ... + 681647628.

It is an arithmetic number, because the mean of its divisors is an integer number (19355862708).

Almost surely, 22220121022000 is an apocalyptic number.

2220121022000 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 2220121022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096938033280).

2220121022000 is an abundant number, since it is smaller than the sum of its proper divisors (3973755044560).

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

2220121022000 is a wasteful number, since it uses less digits than its factorization.

2220121022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2220121022000 its reverse (2201210222), we get a palindrome (2222322232222).

The spelling of 2220121022000 in words is "two trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand".