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121220001221000 = 23531158811873831
BaseRepresentation
bin11011100011111110111011…
…000111001100100110001000
3120220012112000022022110001212
4123203332323013030212020
5111342032030303033000
61105451411053032252
734350566430360653
oct3343767307144610
9526175008273055
10121220001221000
1135696128543710
12117192b9185688
135283cc6728c96
1421d1117aba89a
15e0332524dc35
hex6e3fbb1cc988

121220001221000 has 128 divisors (see below), whose sum is σ = 309494385457920. Its totient is φ = 44072481600000.

The previous prime is 121220001220999. The next prime is 121220001221051. The reversal of 121220001221000 is 122100022121.

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, 63754085 + ... + 65627915.

It is an arithmetic number, because the mean of its divisors is an integer number (2417924886390).

Almost surely, 2121220001221000 is an apocalyptic number.

121220001221000 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 121220001221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154747192728960).

121220001221000 is an abundant number, since it is smaller than the sum of its proper divisors (188274384236920).

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

121220001221000 is a wasteful number, since it uses less digits than its factorization.

121220001221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879744 (or 1879730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121220001221000 its reverse (122100022121), we get a palindrome (121342101243121).

The spelling of 121220001221000 in words is "one hundred twenty-one trillion, two hundred twenty billion, one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 5881 11000 11762 23524 29405 47048 58810 64691 117620 129382 147025 235240 258764 294050 323455 517528 588100 646910 735125 1176200 1293820 1470250 1617275 1873831 2587640 2940500 3234550 3747662 5881000 6469100 7495324 8086375 9369155 12938200 14990648 16172750 18738310 20612141 32345500 37476620 41224282 46845775 64691000 74953240 82448564 93691550 103060705 164897128 187383100 206121410 234228875 374766200 412242820 468457750 515303525 824485640 936915500 1030607050 1873831000 2061214100 2576517625 4122428200 5153035250 10306070500 11020000111 20612141000 22040000222 44080000444 55100000555 88160000888 110200001110 121220001221 220400002220 242440002442 275500002775 440800004440 484880004884 551000005550 606100006105 969760009768 1102000011100 1212200012210 1377500013875 2204000022200 2424400024420 2755000027750 3030500030525 4848800048840 5510000055500 6061000061050 11020000111000 12122000122100 15152500152625 24244000244200 30305000305250 60610000610500 121220001221000