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121112111010 = 235112953238781
BaseRepresentation
bin111000011001011011…
…0000010011110100010
3102120121111210201000010
41300302312002132202
53441014200023020
6131345500505350
711515161646362
oct1606266023642
9376544721003
10121112111010
11473aa6a1630
121b58024b256
13b561718717
145c0cd189a2
15323c92ede0
hex1c32d827a2

121112111010 has 128 divisors (see below), whose sum is σ = 334218389760. Its totient is φ = 27813094400.

The previous prime is 121112110969. The next prime is 121112111077. The reversal of 121112111010 is 10111211121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387820 + ... + 626600.

It is an arithmetic number, because the mean of its divisors is an integer number (2611081170).

Almost surely, 2121112111010 is an apocalyptic number.

121112111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121112111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167109194880).

121112111010 is an abundant number, since it is smaller than the sum of its proper divisors (213106278750).

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

121112111010 is a wasteful number, since it uses less digits than its factorization.

121112111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238884.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121112111010 its reverse (10111211121), we get a palindrome (131223322131).

The spelling of 121112111010 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 53 55 58 66 87 106 110 145 159 165 174 265 290 318 319 330 435 530 583 638 795 870 957 1166 1537 1590 1595 1749 1914 2915 3074 3190 3498 4611 4785 5830 7685 8745 9222 9570 15370 16907 17490 23055 33814 46110 50721 84535 101442 169070 238781 253605 477562 507210 716343 1193905 1432686 2387810 2626591 3581715 5253182 6924649 7163430 7879773 12655393 13132955 13849298 15759546 20773947 25310786 26265910 34623245 37966179 39398865 41547894 63276965 69246490 75932358 76171139 78797730 103869735 126553930 139209323 152342278 189830895 207739470 228513417 278418646 367006397 379661790 380855695 417627969 457026834 696046615 734012794 761711390 835255938 1101019191 1142567085 1392093230 1835031985 2088139845 2202038382 2285134170 3670063970 4037070367 4176279690 5505095955 8074140734 11010191910 12111211101 20185351835 24222422202 40370703670 60556055505 121112111010