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121011000001112 = 2313191349130113417
BaseRepresentation
bin11011100000111100010001…
…101010110100001001011000
3120212110112112122122102012002
4123200330101222310021120
5111330121012000013422
61105211404055340132
734326520250332244
oct3340742152641130
9525415478572162
10121011000001112
1135615527828811
12116a48ab081648
13526a3996204c0
1421c4d6c387424
15decb9195b692
hex6e0f11ab4258

121011000001112 has 128 divisors (see below), whose sum is σ = 246539970432000. Its totient is φ = 55352913408000.

The previous prime is 121011000000973. The next prime is 121011000001211. The reversal of 121011000001112 is 211100000110121.

It is a junction number, because it is equal to n+sod(n) for n = 121011000001093 and 121011000001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9019222628 + ... + 9019236044.

It is an arithmetic number, because the mean of its divisors is an integer number (1926093519000).

Almost surely, 2121011000001112 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 121011000001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123269985216000).

121011000001112 is an abundant number, since it is smaller than the sum of its proper divisors (125528970430888).

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

121011000001112 is a wasteful number, since it uses less digits than its factorization.

121011000001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121011000001112 its reverse (211100000110121), we get a palindrome (332111000111233).

The spelling of 121011000001112 in words is "one hundred twenty-one trillion, eleven billion, one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 191 349 382 698 764 1301 1396 1528 2483 2602 2792 4537 4966 5204 9074 9932 10408 13417 16913 18148 19864 26834 33826 36296 53668 66659 67652 107336 133318 135304 174421 248491 266636 348842 454049 496982 533272 697684 866567 908098 993964 1395368 1733134 1816196 1987928 2562647 3230383 3466268 3632392 4682533 5125294 5902637 6460766 6932536 9365066 10250588 11805274 12921532 17455517 18730132 20501176 23610548 25843064 33314411 34911034 37460264 47221096 60872929 66628822 69822068 86723359 121745858 133257644 139644136 173446718 226921721 243491716 266515288 346893436 453843442 486983432 693786872 894363803 907686884 1127403667 1788727606 1815373768 2254807334 3334003747 3577455212 4509614668 6091975433 6668007494 7154910424 9019229336 11626729439 12183950866 13336014988 23253458878 24367901732 26672029976 43342048711 46506917756 48735803464 79195680629 86684097422 93013835512 158391361258 173368194844 316782722516 346736389688 633565445032 1163567307703 2327134615406 4654269230812 9308538461624 15126375000139 30252750000278 60505500000556 121011000001112