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121211021000 = 2353121211021
BaseRepresentation
bin111000011100010111…
…1010110011011001000
3102120212101220212000002
41300320233112123020
53441220010133000
6131403352502132
711520502451606
oct1607057263310
9376771825002
10121211021000
1147450509123
121b5a93aa948
13b57906a044
145c1c104876
15324646b8d5
hex1c38bd66c8

121211021000 has 32 divisors (see below), whose sum is σ = 283633791480. Its totient is φ = 48484408000.

The previous prime is 121211020981. The next prime is 121211021011. The reversal of 121211021000 is 120112121.

It can be written as a sum of positive squares in 4 ways, for example, as 64224737476 + 56986283524 = 253426^2 + 238718^2 .

It is a super-2 number, since 2×1212110210002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60604511 + ... + 60606510.

Almost surely, 2121211021000 is an apocalyptic number.

121211021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211021000 is an abundant number, since it is smaller than the sum of its proper divisors (162422770480).

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

121211021000 is a wasteful number, since it uses less digits than its factorization.

121211021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121211042 (or 121211028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121211021000 its reverse (120112121), we get a palindrome (121331133121).

The spelling of 121211021000 in words is "one hundred twenty-one billion, two hundred eleven million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 121211021 242422042 484844084 606055105 969688168 1212110210 2424220420 3030275525 4848440840 6060551050 12121102100 15151377625 24242204200 30302755250 60605510500 121211021000