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202012121020000 = 255442557237343
BaseRepresentation
bin101101111011101010011100…
…101101101011011001100000
3222111021011121001022112010011
4231323222130231223121200
5202434231310440120000
61553351030502014304
760356615451636364
oct5573523455533140
9874234531275104
10202012121020000
115940494a963935
121a7a7376717394
138894879a7b025
1437c56201d52a4
151854beb2452ba
hexb7ba9cb6b660

202012121020000 has 120 divisors (see below), whose sum is σ = 496993891496256. Its totient is φ = 80802609216000.

The previous prime is 202012121019979. The next prime is 202012121020049. The reversal of 202012121020000 is 20121210202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 851021329 + ... + 851258671.

Almost surely, 2202012121020000 is an apocalyptic number.

202012121020000 is a gapful number since it is divisible by the number (20) 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 202012121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248496945748128).

202012121020000 is an abundant number, since it is smaller than the sum of its proper divisors (294981770476256).

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

202012121020000 is an equidigital number, since it uses as much as digits as its factorization.

202012121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279930 (or 279907 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202012121020000 its reverse (20121210202), we get a palindrome (202032242230202).

The spelling of 202012121020000 in words is "two hundred two trillion, twelve billion, one hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 42557 85114 170228 212785 237343 340456 425570 474686 680912 851140 949372 1063925 1186715 1361824 1702280 1898744 2127850 2373430 3404560 3797488 4255700 4746860 5319625 5933575 6809120 7594976 8511400 9493720 10639250 11867150 17022800 18987440 21278500 23734300 26598125 29667875 34045600 37974880 42557000 47468600 53196250 59335750 85114000 94937200 106392500 118671500 148339375 170228000 189874400 212785000 237343000 296678750 425570000 474686000 593357500 851140000 949372000 1186715000 2373430000 4746860000 10100606051 20201212102 40402424204 50503030255 80804848408 101006060510 161609696816 202012121020 252515151275 323219393632 404024242040 505030302550 808048484080 1010060605100 1262575756375 1616096968160 2020121210200 2525151512750 4040242420400 5050303025500 6312878781875 8080484840800 10100606051000 12625757563750 20201212102000 25251515127500 40402424204000 50503030255000 101006060510000 202012121020000