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12011211000 = 2332531970241
BaseRepresentation
bin10110010111110110…
…01000100011111000
31011000002012201221200
423023323020203320
5144044332223000
65303505534200
7603435415605
oct131373104370
934002181850
1012011211000
115104019668
1223b2644360
13119558b659
1481d2d96ac
154a4737500
hex2cbec88f8

12011211000 has 192 divisors, whose sum is σ = 42735232800. Its totient is φ = 3034368000.

The previous prime is 12011210999. The next prime is 12011211011. The reversal of 12011211000 is 11211021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135880 + ... + 206120.

Almost surely, 212011211000 is an apocalyptic number.

12011211000 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 12011211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21367616400).

12011211000 is an abundant number, since it is smaller than the sum of its proper divisors (30724021800).

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

12011211000 is a wasteful number, since it uses less digits than its factorization.

12011211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70287 (or 70270 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011211000 its reverse (11211021), we get a palindrome (12022422021).

It can be divided in two parts, 1201 and 1211000, that added together give a square (1212201 = 11012).

The spelling of 12011211000 in words is "twelve billion, eleven million, two hundred eleven thousand".