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21120222001200 = 24352721583226903
BaseRepresentation
bin1001100110101011011110…
…10101000111100000110000
32202210001222120210101000220
410303111233111013200300
510232013203313014300
6112530255051213040
74306612534643100
oct463255725074060
982701876711026
1021120222001200
116803043797913
1224512a7747180
13ba282275519a
1453031d2b9200
152695bad05da0
hex13356f547830

21120222001200 has 360 divisors, whose sum is σ = 78750906905088. Its totient is φ = 4824408476160.

The previous prime is 21120222001181. The next prime is 21120222001211. The reversal of 21120222001200 is 210022202112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21120222001200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92966949 + ... + 93193851.

Almost surely, 221120222001200 is an apocalyptic number.

21120222001200 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 21120222001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39375453452544).

21120222001200 is an abundant number, since it is smaller than the sum of its proper divisors (57630684903888).

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

21120222001200 is a wasteful number, since it uses less digits than its factorization.

21120222001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228521 (or 228503 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21120222001200 its reverse (210022202112), we get a palindrome (21330244203312).

The spelling of 21120222001200 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-two million, one thousand, two hundred".