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1124201322312 = 233195365717079
BaseRepresentation
bin10000010110111111100…
…111101101011101001000
310222110202112010022201120
4100112333213231131020
5121404331014303222
62220241223515240
7144135520400355
oct20267747553510
93873675108646
101124201322312
113a385337a712
12161a648b8b20
138201ca02733
143c5a974b62c
151e39a4ad15c
hex105bf9ed748

1124201322312 has 128 divisors (see below), whose sum is σ = 3015128448000. Its totient is φ = 348210420480.

The previous prime is 1124201322301. The next prime is 1124201322313. The reversal of 1124201322312 is 2132231024211.

It is a super-2 number, since 2×11242013223122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1124201322313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158804389 + ... + 158811467.

It is an arithmetic number, because the mean of its divisors is an integer number (23555691000).

Almost surely, 21124201322312 is an apocalyptic number.

1124201322312 is a gapful number since it is divisible by the number (12) 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 1124201322312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507564224000).

1124201322312 is an abundant number, since it is smaller than the sum of its proper divisors (1890927125688).

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

1124201322312 is a wasteful number, since it uses less digits than its factorization.

1124201322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13727 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1124201322312 its reverse (2132231024211), we get a palindrome (3256432346523).

The spelling of 1124201322312 in words is "one trillion, one hundred twenty-four billion, two hundred one million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 106 114 152 159 212 228 318 424 456 636 1007 1272 2014 3021 4028 6042 6571 7079 8056 12084 13142 14158 19713 21237 24168 26284 28316 39426 42474 52568 56632 78852 84948 124849 134501 157704 169896 249698 269002 348263 374547 375187 403503 499396 538004 696526 749094 750374 807006 998792 1044789 1076008 1125561 1393052 1498188 1500748 1614012 2089578 2251122 2786104 2996376 3001496 3228024 4179156 4502244 6616997 7128553 8358312 9004488 13233994 14257106 19850991 21385659 26467988 28514212 39701982 42771318 46516109 52935976 57028424 79403964 85542636 93032218 139548327 158807928 171085272 186064436 279096654 372128872 558193308 883806071 1116386616 1767612142 2465353777 2651418213 3535224284 4930707554 5302836426 7070448568 7396061331 9861415108 10605672852 14792122662 19722830216 21211345704 29584245324 46841721763 59168490648 93683443526 140525165289 187366887052 281050330578 374733774104 562100661156 1124201322312