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121010021011092 = 223198947743124907
BaseRepresentation
bin11011100000111011010111…
…010100010000111010010100
3120212110110000102111120100110
4123200323113110100322110
5111330112010334323332
61105211123004243020
734326454062135033
oct3340732724207224
9525413012446313
10121010021011092
1135615075155054
12116a4677240470
13526a27185b375
1421c4cb834871a
15decb35a2a4cc
hex6e0ed7510e94

121010021011092 has 96 divisors (see below), whose sum is σ = 300565820620800. Its totient is φ = 37783229628672.

The previous prime is 121010021011051. The next prime is 121010021011093. The reversal of 121010021011092 is 290110120010121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121010021011093) 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, 968738503 + ... + 968863409.

It is an arithmetic number, because the mean of its divisors is an integer number (3130893964800).

Almost surely, 2121010021011092 is an apocalyptic number.

121010021011092 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 121010021011092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150282910310400).

121010021011092 is an abundant number, since it is smaller than the sum of its proper divisors (179555799609708).

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

121010021011092 is a wasteful number, since it uses less digits than its factorization.

121010021011092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172765 (or 172763 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 121010021011092 in words is "one hundred twenty-one trillion, ten billion, twenty-one million, eleven thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 89 114 178 228 267 356 534 1068 1691 3382 5073 6764 10146 20292 47743 95486 124907 143229 190972 249814 286458 374721 499628 572916 749442 907117 1498884 1814234 2373233 2721351 3628468 4249127 4746466 5442702 7119699 8498254 9492932 10885404 11116723 12747381 14239398 16996508 22233446 25494762 28478796 33350169 44466892 50989524 66700338 80733413 133400676 161466826 211217737 242200239 322933652 422435474 484400478 633653211 844870948 968800956 1267306422 2534612844 5963434901 11926869802 17890304703 23853739604 35780609406 71561218812 113305263119 226610526238 339915789357 453221052476 530745706189 679831578714 1061491412378 1359663157428 1592237118567 2122982824756 3184474237134 6368948474268 10084168417591 20168336835182 30252505252773 40336673670364 60505010505546 121010021011092