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121020233000 = 235341271993
BaseRepresentation
bin111000010110101011…
…1100011010100101000
3102120101002220211001212
41300231113203110220
53440322134424000
6131332415332252
711512665002432
oct1605527432450
9376332824055
10121020233000
1147362848297
121b555521088
13b548689a34
145c00a3d652
153234831c35
hex1c2d5e3528

121020233000 has 96 divisors (see below), whose sum is σ = 290266849080. Its totient is φ = 47226752000.

The previous prime is 121020232979. The next prime is 121020233027. The reversal of 121020233000 is 332020121.

It is a happy number.

121020233000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 21279223876 + 99741009124 = 145874^2 + 315818^2 .

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, 1645004 + ... + 1716996.

Almost surely, 2121020233000 is an apocalyptic number.

121020233000 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 121020233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145133424540).

121020233000 is an abundant number, since it is smaller than the sum of its proper divisors (169246616080).

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

121020233000 is an equidigital number, since it uses as much as digits as its factorization.

121020233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72096 (or 72041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 121020233000 its reverse (332020121), we get a palindrome (121352253121).

The spelling of 121020233000 in words is "one hundred twenty-one billion, twenty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 1681 2050 3362 4100 5125 6724 8200 8405 10250 13448 16810 20500 33620 41000 42025 67240 71993 84050 143986 168100 210125 287972 336200 359965 420250 575944 719930 840500 1439860 1681000 1799825 2879720 2951713 3599650 5903426 7199300 8999125 11806852 14398600 14758565 17998250 23613704 29517130 35996500 59034260 71993000 73792825 118068520 121020233 147585650 242040466 295171300 368964125 484080932 590342600 605101165 737928250 968161864 1210202330 1475856500 2420404660 2951713000 3025505825 4840809320 6051011650 12102023300 15127529125 24204046600 30255058250 60510116500 121020233000