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11220001122000 = 2435311217909091
BaseRepresentation
bin1010001101000101110000…
…1011100110011011010000
31110201121210011120122011010
42203101130023212123100
52432312030241401000
635510221455050520
72235422041646346
oct243213413463320
943647704518133
1011220001122000
113636415146100
121312617810a40
13635070421758
142ab09db51996
15146cd0a1bd50
hexa345c2e66d0

11220001122000 has 480 divisors, whose sum is σ = 42099628701312. Its totient is φ = 2559997440000.

The previous prime is 11220001121921. The next prime is 11220001122013. The reversal of 11220001122000 is 22110002211.

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

It is a zygodrome in base 10.

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, 11887455 + ... + 12796545.

Almost surely, 211220001122000 is an apocalyptic number.

11220001122000 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 11220001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21049814350656).

11220001122000 is an abundant number, since it is smaller than the sum of its proper divisors (30879627579312).

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

11220001122000 is a wasteful number, since it uses less digits than its factorization.

11220001122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909156 (or 909129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11220001122000 its reverse (22110002211), we get a palindrome (11242111124211).

The spelling of 11220001122000 in words is "eleven trillion, two hundred twenty billion, one million, one hundred twenty-two thousand".