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121110010020 = 22325103263421
BaseRepresentation
bin111000011001010111…
…0000001100010100100
3102120121100211221222200
41300302232001202210
53441013130310040
6131345343454500
711515135046136
oct1606256014244
9376540757880
10121110010020
11473a949707a
121b57b5b7430
13b56116132c
145c0c92d056
15323c667630
hex1c32b818a4

121110010020 has 108 divisors (see below), whose sum is σ = 370974177756. Its totient is φ = 31981944960.

The previous prime is 121110009973. The next prime is 121110010031. The reversal of 121110010020 is 20010011121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30157100964 + 90952909056 = 173658^2 + 301584^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121110009984 and 121110010011.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1877910 + ... + 1941330.

Almost surely, 2121110010020 is an apocalyptic number.

121110010020 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 121110010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185487088878).

121110010020 is an abundant number, since it is smaller than the sum of its proper divisors (249864167736).

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

121110010020 is a wasteful number, since it uses less digits than its factorization.

121110010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63642 (or 63534 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121110010020 its reverse (20010011121), we get a palindrome (141120021141).

The spelling of 121110010020 in words is "one hundred twenty-one billion, one hundred ten million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 10609 18540 21218 31827 42436 53045 63421 63654 95481 106090 126842 127308 159135 190263 190962 212180 253684 317105 318270 380526 381924 477405 570789 634210 636540 761052 951315 954810 1141578 1268420 1902630 1909620 2283156 2853945 3805260 5707890 6532363 11415780 13064726 19597089 26129452 32661815 39194178 58791267 65323630 78388356 97985445 117582534 130647260 195970890 235165068 293956335 391941780 587912670 672833389 1175825340 1345666778 2018500167 2691333556 3364166945 4037000334 6055500501 6728333890 8074000668 10092500835 12111001002 13456667780 20185001670 24222002004 30277502505 40370003340 60555005010 121110010020