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121120020120100 = 225237323911717
BaseRepresentation
bin11011100010100001110011…
…110001100100001000100100
3120212211221221110020021111211
4123202201303301210020210
5111333412300122320400
61105333434043041204
734340430003134611
oct3342416361441044
9525757843207454
10121120020120100
1135657791846801
1211701a55810204
135277751b05851
1421ca351379508
15e009229e8dba
hex6e2873c64224

121120020120100 has 72 divisors (see below), whose sum is σ = 270131156480360. Its totient is φ = 47138600453760.

The previous prime is 121120020120059. The next prime is 121120020120103. The reversal of 121120020120100 is 1021020021121.

It can be written as a sum of positive squares in 12 ways, for example, as 9975629530084 + 111144390590016 = 3158422^2 + 10542504^2 .

It is not an unprimeable number, because it can be changed into a prime (121120020120103) 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, 6890559 + ... + 17021158.

Almost surely, 2121120020120100 is an apocalyptic number.

121120020120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120020120100 is an abundant number, since it is smaller than the sum of its proper divisors (149011136360260).

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

121120020120100 is an equidigital number, since it uses as much as digits as its factorization.

121120020120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23911842 (or 23911761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121120020120100 its reverse (1021020021121), we get a palindrome (122141040141221).

The spelling of 121120020120100 in words is "one hundred twenty-one trillion, one hundred twenty billion, twenty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1369 1850 2738 3700 5476 6845 13690 27380 34225 50653 68450 101306 136900 202612 253265 506530 1013060 1266325 2532650 5065300 23911717 47823434 95646868 119558585 239117170 478234340 597792925 884733529 1195585850 1769467058 2391171700 3538934116 4423667645 8847335290 17694670580 22118338225 32735140573 44236676450 65470281146 88473352900 130940562292 163675702865 327351405730 654702811460 818378514325 1211200201201 1636757028650 2422400402402 3273514057300 4844800804804 6056001006005 12112002012010 24224004024020 30280005030025 60560010060050 121120020120100