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222012020120 = 235114153892609
BaseRepresentation
bin1100111011000011110…
…0101001010110011000
3210020001101210011110212
43032300330221112120
512114140034120440
6245554012030252
722016444014532
oct3166074512630
9706041704425
10222012020120
1186177aa7770
123703b462388
1317c217bc357
14aa616b0852
155b95b79465
hex33b0f29598

222012020120 has 256 divisors, whose sum is σ = 575373456000. Its totient is φ = 76378931200.

The previous prime is 222012020099. The next prime is 222012020123. The reversal of 222012020120 is 21020210222.

222012020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222012020095 and 222012020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222012020123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85093376 + ... + 85095984.

Almost surely, 2222012020120 is an apocalyptic number.

222012020120 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 222012020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287686728000).

222012020120 is an abundant number, since it is smaller than the sum of its proper divisors (353361435880).

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

222012020120 is a wasteful number, since it uses less digits than its factorization.

222012020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2810 counting only the distinct ones).

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

Adding to 222012020120 its reverse (21020210222), we get a palindrome (243032230342).

The spelling of 222012020120 in words is "two hundred twenty-two billion, twelve million, twenty thousand, one hundred twenty".