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1211231011332 = 2232367174737493
BaseRepresentation
bin10001101000000010111…
…111101000001000000100
311021210101202211121012010
4101220002333220020010
5124321100114330312
62324233140054220
7153336301503216
oct21500277501004
94253352747163
101211231011332
11427753369141
121768b2994370
138a2ac336a44
14428a3d705b6
1521790bac93c
hex11a02fe8204

1211231011332 has 96 divisors (see below), whose sum is σ = 2994893540352. Its totient is φ = 380197673856.

The previous prime is 1211231011303. The next prime is 1211231011337. The reversal of 1211231011332 is 2331101321121.

It is a junction number, because it is equal to n+sod(n) for n = 1211231011299 and 1211231011308.

It is not an unprimeable number, because it can be changed into a prime (1211231011337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32286778 + ... + 32324270.

It is an arithmetic number, because the mean of its divisors is an integer number (31196807712).

Almost surely, 21211231011332 is an apocalyptic number.

1211231011332 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 1211231011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497446770176).

1211231011332 is an abundant number, since it is smaller than the sum of its proper divisors (1783662529020).

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

1211231011332 is a wasteful number, since it uses less digits than its factorization.

1211231011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39337 (or 39335 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1211231011332 its reverse (2331101321121), we get a palindrome (3542332332453).

The spelling of 1211231011332 in words is "one trillion, two hundred eleven billion, two hundred thirty-one million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1541 1747 3082 3494 4623 5241 6164 6988 9246 10482 18492 20964 37493 40181 74986 80362 112479 117049 120543 149972 160724 224958 234098 241086 351147 449916 468196 482172 702294 862339 1404588 1724678 2512031 2587017 2692127 3449356 5024062 5174034 5384254 7536093 8076381 10048124 10348068 10768508 15072186 16152762 30144372 32305524 57776713 65500271 115553426 131000542 173330139 196500813 231106852 262001084 346660278 393001626 693320556 786003252 1506506233 3013012466 4388518157 4519518699 6026024932 8777036314 9039037398 13165554471 17554072628 18078074796 26331108942 52662217884 100935917611 201871835222 302807752833 403743670444 605615505666 1211231011332