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12211203024 = 2432198353773
BaseRepresentation
bin10110101111101100…
…00010101111010000
31011112000112101102200
423113312002233100
5200002031444044
65335412243200
7611414340666
oct132766025720
934460471380
1012211203024
1151a69a6629
122449610500
1311c7b42127
1483bab8c36
154b708e369
hex2d7d82bd0

12211203024 has 120 divisors (see below), whose sum is σ = 36407148960. Its totient is φ = 3809638656.

The previous prime is 12211203019. The next prime is 12211203029. The reversal of 12211203024 is 42030211221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12211203019) and next prime (12211203029).

It is a super-2 number, since 2×122112030242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211202988 and 12211203006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211203029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200202 + ... + 253974.

It is an arithmetic number, because the mean of its divisors is an integer number (303392908).

Almost surely, 212211203024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211203024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203574480).

12211203024 is an abundant number, since it is smaller than the sum of its proper divisors (24195945936).

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

12211203024 is a wasteful number, since it uses less digits than its factorization.

12211203024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53889 (or 53880 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12211203024 its reverse (42030211221), we get a palindrome (54241414245).

The spelling of 12211203024 in words is "twelve billion, two hundred eleven million, two hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 83 114 144 152 166 171 228 249 304 332 342 456 498 664 684 747 912 996 1328 1368 1494 1577 1992 2736 2988 3154 3984 4731 5976 6308 9462 11952 12616 14193 18924 25232 28386 37848 53773 56772 75696 107546 113544 161319 215092 227088 322638 430184 483957 645276 860368 967914 1021687 1290552 1935828 2043374 2581104 3065061 3871656 4086748 4463159 6130122 7743312 8173496 8926318 9195183 12260244 13389477 16346992 17852636 18390366 24520488 26778954 35705272 36780732 40168431 49040976 53557908 71410544 73561464 80336862 84800021 107115816 147122928 160673724 169600042 214231632 254400063 321347448 339200084 508800126 642694896 678400168 763200189 1017600252 1356800336 1526400378 2035200504 3052800756 4070401008 6105601512 12211203024