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11221122000 = 24353111773137
BaseRepresentation
bin10100111001101010…
…01011101111010000
31001222000112001121010
422130311023233100
5140440101401000
65053243330520
7545032651254
oct123465135720
931860461533
1011221122000
114839038050
122211b20a40
13109a99897a
147863d0264
1545a1bbd50
hex29cd4bbd0

11221122000 has 640 divisors, whose sum is σ = 42668840448. Its totient is φ = 2506752000.

The previous prime is 11221121981. The next prime is 11221122007. The reversal of 11221122000 is 22112211.

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 not an unprimeable number, because it can be changed into a prime (11221122007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81905932 + ... + 81906068.

Almost surely, 211221122000 is an apocalyptic number.

11221122000 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 11221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21334420224).

11221122000 is an abundant number, since it is smaller than the sum of its proper divisors (31447718448).

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

11221122000 is a wasteful number, since it uses less digits than its factorization.

11221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

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

Adding to 11221122000 its reverse (22112211), we get a palindrome (11243234211).

It can be divided in two parts, 112 and 21122000, that added together give a palindrome (21122112).

The spelling of 11221122000 in words is "eleven billion, two hundred twenty-one million, one hundred twenty-two thousand".