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121221004940 = 22572443279221
BaseRepresentation
bin111000011100101010…
…1011011111010001100
3102120220002201002101122
41300321111123322030
53441230034124230
6131404350500112
711520653353400
oct1607125337214
9376802632348
10121221004940
1147456108212
121b5b0804638
13b57b1544b9
145c1d583100
15324728ebe5
hex1c3955be8c

121221004940 has 72 divisors (see below), whose sum is σ = 296795115792. Its totient is φ = 41467520640.

The previous prime is 121221004939. The next prime is 121221004943. The reversal of 121221004940 is 49400122121.

It is not an unprimeable number, because it can be changed into a prime (121221004943) 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, 294530 + ... + 573750.

It is an arithmetic number, because the mean of its divisors is an integer number (4122154386).

Almost surely, 2121221004940 is an apocalyptic number.

121221004940 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 121221004940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148397557896).

121221004940 is an abundant number, since it is smaller than the sum of its proper divisors (175574110852).

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

121221004940 is a wasteful number, since it uses less digits than its factorization.

121221004940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279687 (or 279678 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 121221004940 in words is "one hundred twenty-one billion, two hundred twenty-one million, four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 443 490 886 980 1772 2215 3101 4430 6202 8860 12404 15505 21707 31010 43414 62020 86828 108535 217070 279221 434140 558442 1116884 1396105 1954547 2792210 3909094 5584420 7818188 9772735 13681829 19545470 27363658 39090940 54727316 68409145 123694903 136818290 247389806 273636580 494779612 618474515 865864321 1236949030 1731728642 2473898060 3463457284 4329321605 6061050247 8658643210 12122100494 17317286420 24244200988 30305251235 60610502470 121221004940