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11220000000000 = 21135101117
BaseRepresentation
bin1010001101000101110000…
…0111010100100000000000
31110201121210002110122001120
42203101130013110200000
52432312030000000000
635510221415032240
72235422026264251
oct243213407244000
943647702418046
1011220000000000
11363641454a130
12131261736b680
1363507011ab4c
142ab09d93cb28
15146cd08996a0
hexa345c1d4800

11220000000000 has 1056 divisors, whose sum is σ = 43189452240480. Its totient is φ = 2560000000000.

The previous prime is 11219999999993. The next prime is 11220000000007. The reversal of 11220000000000 is 2211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11219999999993) and next prime (11220000000007).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220000000007) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 659999999992 + ... + 660000000008.

Almost surely, 211220000000000 is an apocalyptic number.

11220000000000 is a gapful number since it is divisible by the number (10) 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 11220000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21594726120240).

11220000000000 is an abundant number, since it is smaller than the sum of its proper divisors (31969452240480).

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

11220000000000 is an frugal number, since it uses more digits than its factorization.

11220000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 11220000000000 its reverse (2211), we get a palindrome (11220000002211).

The spelling of 11220000000000 in words is "eleven trillion, two hundred twenty billion", and thus it is an aban number.