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12210111000 = 233253372991
BaseRepresentation
bin10110101111100011…
…11000001000011000
31011111221110220110100
423113301320020120
5200001242023000
65335333015400
7611402142153
oct132761701030
934457426410
1012210111000
1151a632012a
122449184560
1311c784c069
1483b8b2c9a
154b6e25a00
hex2d7c78218

12210111000 has 288 divisors, whose sum is σ = 42458532480. Its totient is φ = 3164832000.

The previous prime is 12210110989. The next prime is 12210111007. The reversal of 12210111000 is 11101221.

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 not an unprimeable number, because it can be changed into a prime (12210111007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12320505 + ... + 12321495.

It is an arithmetic number, because the mean of its divisors is an integer number (147425460).

Almost surely, 212210111000 is an apocalyptic number.

12210111000 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 12210111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229266240).

12210111000 is an abundant number, since it is smaller than the sum of its proper divisors (30248421480).

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

12210111000 is a wasteful number, since it uses less digits than its factorization.

12210111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1038 counting only the distinct ones).

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

Adding to 12210111000 its reverse (11101221), we get a palindrome (12221212221).

It can be divided in two parts, 12 and 210111000, that added together give a palindrome (210111012).

The spelling of 12210111000 in words is "twelve billion, two hundred ten million, one hundred eleven thousand".