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200011122222120 = 233351147363798491
BaseRepresentation
bin101101011110100010110111…
…111001000010010000101000
3222020011212200000001111001000
4231132202313321002100220
5202203440234242101440
61545215501401155000
760062220030535206
oct5536426771022050
9866155600044030
10200011122222120
1158803271240460
121a5235b418ba60
13877ac7760a9c1
143756838c2c076
15181cb35722730
hexb5e8b7e42428

200011122222120 has 512 divisors, whose sum is σ = 742999694745600. Its totient is φ = 47442365107200.

The previous prime is 200011122222059. The next prime is 200011122222137. The reversal of 200011122222120 is 21222221110002.

It is a happy number.

200011122222120 is a `hidden beast` number, since 200 + 0 + 1 + 1 + 1 + 222 + 221 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200011122222093 and 200011122222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2030706075 + ... + 2030804565.

It is an arithmetic number, because the mean of its divisors is an integer number (1451171278800).

Almost surely, 2200011122222120 is an apocalyptic number.

200011122222120 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 200011122222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371499847372800).

200011122222120 is an abundant number, since it is smaller than the sum of its proper divisors (542988572523480).

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

200011122222120 is a wasteful number, since it uses less digits than its factorization.

200011122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102206 (or 102196 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200011122222120 its reverse (21222221110002), we get a palindrome (221233343332122).

The spelling of 200011122222120 in words is "two hundred trillion, eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".