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121121010102200 = 23525321521530947
BaseRepresentation
bin11011100010100010101110…
…110010000010111110111000
3120212212001111110001120122112
4123202202232302002332320
5111333421312041232300
61105334120205511452
734340463353633033
oct3342425662027670
9525761443046575
10121121010102200
113565814a647a29
1211702091272588
13527787bc45c84
1421ca406a3a01a
15e0097e89be35
hex6e28aec82fb8

121121010102200 has 96 divisors (see below), whose sum is σ = 286933548314160. Its totient is φ = 47531984947200.

The previous prime is 121121010102199. The next prime is 121121010102203. The reversal of 121121010102200 is 2201010121121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121010102203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227857127 + ... + 228388073.

Almost surely, 2121121010102200 is an apocalyptic number.

121121010102200 is a gapful number since it is divisible by the number (10) 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 121121010102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143466774157080).

121121010102200 is an abundant number, since it is smaller than the sum of its proper divisors (165812538211960).

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

121121010102200 is a wasteful number, since it uses less digits than its factorization.

121121010102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552537 (or 552528 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121121010102200 its reverse (2201010121121), we get a palindrome (123322020223321).

The spelling of 121121010102200 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, ten million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 21521 43042 86084 107605 172168 215210 430420 530947 538025 860840 1061894 1076050 1140613 2123788 2152100 2281226 2654735 4247576 4304200 4562452 5309470 5703065 9124904 10618940 11406130 13273675 21237880 22812260 26547350 28140191 28515325 45624520 53094700 56280382 57030650 106189400 112560764 114061300 140700955 225121528 228122600 281401910 562803820 703504775 1125607640 1407009550 2814019100 5628038200 11426510387 22853020774 45706041548 57132551935 91412083096 114265103870 228530207740 285662759675 457060415480 571325519350 605605050511 1142651038700 1211210101022 2285302077400 2422420202044 3028025252555 4844840404088 6056050505110 12112101010220 15140126262775 24224202020440 30280252525550 60560505051100 121121010102200