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121321030120020 = 223251016673323989
BaseRepresentation
bin11011100101011101000000…
…111001110111001001010100
3120220120011210012000021102200
4123211131000321313021110
5111400210432202320040
61110010040053004500
734361104140012033
oct3345350071671124
9526504705007380
10121321030120020
1135724a61740885
12117349b3623730
1352906a74536c3
1421d5d7d64c71a
15e05c89977630
hex6e5740e77254

121321030120020 has 72 divisors (see below), whose sum is σ = 371650759651080. Its totient is φ = 32031955142400.

The previous prime is 121321030119943. The next prime is 121321030120093. The reversal of 121321030120020 is 20021030123121.

121321030120020 is a `hidden beast` number, since 1 + 2 + 1 + 321 + 0 + 301 + 20 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43163796247056 + 78157233872964 = 6569916^2 + 8840658^2 .

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 = 121321030119975 and 121321030120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3336643815 + ... + 3336680174.

It is an arithmetic number, because the mean of its divisors is an integer number (5161816106265).

Almost surely, 2121321030120020 is an apocalyptic number.

121321030120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121321030120020 is an abundant number, since it is smaller than the sum of its proper divisors (250329729531060).

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

121321030120020 is a wasteful number, since it uses less digits than its factorization.

121321030120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673324105 (or 6673324100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121321030120020 its reverse (20021030123121), we get a palindrome (141342060243141).

The spelling of 121321030120020 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, thirty million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 6673323989 13346647978 20019971967 26693295956 33366619945 40039943934 60059915901 66733239890 80079887868 100099859835 120119831802 133466479780 200199719670 240239663604 300299579505 400399439340 600599159010 674005722889 1201198318020 1348011445778 2022017168667 2696022891556 3370028614445 4044034337334 6066051506001 6740057228890 8088068674668 10110085843335 12132103012002 13480114457780 20220171686670 24264206024004 30330257530005 40440343373340 60660515060010 121321030120020