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1121000122212 = 2232943603712409
BaseRepresentation
bin10000010100000000110…
…100000110011101100100
310222011111102111111201220
4100110000310012131210
5121331302012402322
62214551431020340
7143663266551435
oct20240064063544
93864442444656
101121000122212
113a24603876a3
1216131080a6b0
138192c7338a9
143c38452d48c
151e25e42455c
hex10500d06764

1121000122212 has 96 divisors (see below), whose sum is σ = 2769471196800. Its totient is φ = 352304612352.

The previous prime is 1121000122147. The next prime is 1121000122243. The reversal of 1121000122212 is 2122210001211.

It is a junction number, because it is equal to n+sod(n) for n = 1121000122191 and 1121000122200.

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, 90331464 + ... + 90343872.

It is an arithmetic number, because the mean of its divisors is an integer number (28848658300).

Almost surely, 21121000122212 is an apocalyptic number.

1121000122212 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 1121000122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384735598400).

1121000122212 is an abundant number, since it is smaller than the sum of its proper divisors (1648471074588).

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

1121000122212 is a wasteful number, since it uses less digits than its factorization.

1121000122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18525 (or 18523 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1121000122212 its reverse (2122210001211), we get a palindrome (3243210123423).

The spelling of 1121000122212 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 6037 7482 12074 12409 14964 18111 24148 24818 36222 37227 49636 72444 74454 148908 175073 259591 350146 359861 519182 525219 533587 700292 719722 778773 1038364 1050438 1067174 1079583 1439444 1557546 1600761 2100876 2134348 2159166 3115092 3201522 4318332 6403044 7528139 15056278 15474023 22584417 30112556 30948046 45168834 46422069 61896092 74913133 90337668 92844138 149826266 185688276 224739399 299652532 449478798 898957596 2172480857 3221264719 4344961714 6442529438 6517442571 8689923428 9663794157 12885058876 13034885142 19327588314 26069770284 38655176628 93416676851 186833353702 280250030553 373666707404 560500061106 1121000122212