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12212331000 = 2335337269409
BaseRepresentation
bin10110101111110100…
…10110000111111000
31011112002122200201120
423113322112013320
5200002324043000
65335452345240
7611430046362
oct132772260770
934462580646
1012212331000
1151a75a7041
122449a75220
1311c814867c
1483bccdd32
154b72136a0
hex2d7e961f8

12212331000 has 256 divisors, whose sum is σ = 39373776000. Its totient is φ = 3149107200.

The previous prime is 12212330989. The next prime is 12212331007. The reversal of 12212331000 is 13321221.

It is a super-2 number, since 2×122123310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212331007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29858796 + ... + 29859204.

Almost surely, 212212331000 is an apocalyptic number.

12212331000 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 12212331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686888000).

12212331000 is an abundant number, since it is smaller than the sum of its proper divisors (27161445000).

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

12212331000 is a wasteful number, since it uses less digits than its factorization.

12212331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12212331000 its reverse (13321221), we get a palindrome (12225652221).

The spelling of 12212331000 in words is "twelve billion, two hundred twelve million, three hundred thirty-one thousand".