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222120010200000 = 2635511259312979
BaseRepresentation
bin110010100000010001011000…
…010011100011001111000000
31002010110110120102022020110110
4302200101120103203033000
5213103203240102400000
62104224305103431320
764533432626611503
oct6240213023431700
91063413512266413
10222120010200000
1164857627112740
1220ab4419bb5540
1396c2a9a152c33
143cbc94717113a
151aa2cb7c20850
hexca04584e33c0

222120010200000 has 672 divisors, whose sum is σ = 801718419237120. Its totient is φ = 53822361600000.

The previous prime is 222120010199959. The next prime is 222120010200061. The reversal of 222120010200000 is 2010021222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17113793511 + ... + 17113806489.

It is an arithmetic number, because the mean of its divisors is an integer number (1193033361960).

Almost surely, 2222120010200000 is an apocalyptic number.

222120010200000 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 222120010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400859209618560).

222120010200000 is an abundant number, since it is smaller than the sum of its proper divisors (579598409037120).

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

222120010200000 is a wasteful number, since it uses less digits than its factorization.

222120010200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15623 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222120010200000 its reverse (2010021222), we get a palindrome (222122020221222).

The spelling of 222120010200000 in words is "two hundred twenty-two trillion, one hundred twenty billion, ten million, two hundred thousand".