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222121002220000 = 2554133141719467
BaseRepresentation
bin110010100000010010010011…
…011011110011100111100000
31002010110120010112222002001221
4302200102103123303213200
5213103212303032020000
62104224551342104424
764533466333625212
oct6240222333634740
91063416115862057
10222121002220000
1164857a96085a84
1220ab465627b114
1396c2bc7827b10
143cbc9dcc025b2
151aa2d24d7761a
hexca04936f39e0

222121002220000 has 960 divisors, whose sum is σ = 631116643627008. Its totient is φ = 76333824000000.

The previous prime is 222121002219979. The next prime is 222121002220001. The reversal of 222121002220000 is 22200121222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121002220001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23462655267 + ... + 23462664733.

Almost surely, 2222121002220000 is an apocalyptic number.

222121002220000 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 222121002220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315558321813504).

222121002220000 is an abundant number, since it is smaller than the sum of its proper divisors (408995641407008).

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

222121002220000 is a wasteful number, since it uses less digits than its factorization.

222121002220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 222121002220000 its reverse (22200121222), we get a palindrome (222143202341222).

The spelling of 222121002220000 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two million, two hundred twenty thousand".