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121102222122 = 236728142227
BaseRepresentation
bin111000011001001000…
…0010100001100101010
3102120120211012022000000
41300302100110030222
53441004132101442
6131344504523430
711515011621660
oct1606220241452
9376524168000
10121102222122
11473a50579a2
121b578a80576
13b55c6655cb
145c0b8a2c30
15323bb29d4c
hex1c3241432a

121102222122 has 112 divisors (see below), whose sum is σ = 312378420672. Its totient is φ = 34476684480.

The previous prime is 121102222103. The next prime is 121102222123. The reversal of 121102222122 is 221222201121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121102222095 and 121102222104.

It is not an unprimeable number, because it can be changed into a prime (121102222123) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2846773 + ... + 2888999.

Almost surely, 2121102222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156189210336).

121102222122 is an abundant number, since it is smaller than the sum of its proper divisors (191276198550).

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

121102222122 is an equidigital number, since it uses as much as digits as its factorization.

121102222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42535 (or 42520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121102222122 its reverse (221222201121), we get a palindrome (342324423243).

The spelling of 121102222122 in words is "one hundred twenty-one billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 281 378 486 562 567 729 843 1134 1458 1686 1701 1967 2529 3402 3934 5058 5103 5901 7587 10206 11802 15174 17703 22761 35406 42227 45522 53109 68283 84454 106218 126681 136566 159327 204849 253362 295589 318654 380043 409698 477981 591178 760086 886767 955962 1140129 1433943 1773534 2280258 2660301 2867886 3420387 5320602 6840774 7980903 10261161 11865787 15961806 20522322 23731574 23942709 30783483 35597361 47885418 61566966 71194722 71828127 83060509 106792083 143656254 166121018 213584166 215484381 249181527 320376249 430968762 498363054 640752498 747544581 961128747 1495089162 1922257494 2242633743 2883386241 4485267486 5766772482 6727901229 8650158723 13455802458 17300317446 20183703687 40367407374 60551111061 121102222122