Search a number
-
+
122032021311120 = 2435508466755463
BaseRepresentation
bin11011101111110011001011…
…010010000000111010010000
3121000002010222101101000212110
4123233303023102000322100
5111443333034423423440
61111312423041425320
734463344151302344
oct3357631322007220
9530063871330773
10122032021311120
1135979542730a88
121182a75903b240
135312754a525cb
14221c54a5ad624
15e194ed92e080
hex6efccb480e90

122032021311120 has 40 divisors (see below), whose sum is σ = 378299266065216. Its totient is φ = 32541872349568.

The previous prime is 122032021311071. The next prime is 122032021311133. The reversal of 122032021311120 is 21113120230221.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254233377492 + ... + 254233377971.

Almost surely, 2122032021311120 is an apocalyptic number.

122032021311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122032021311120 is an abundant number, since it is smaller than the sum of its proper divisors (256267244754096).

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

122032021311120 is a wasteful number, since it uses less digits than its factorization.

122032021311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508466755479 (or 508466755473 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122032021311120 its reverse (21113120230221), we get a palindrome (143145141541341).

The spelling of 122032021311120 in words is "one hundred twenty-two trillion, thirty-two billion, twenty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 508466755463 1016933510926 1525400266389 2033867021852 2542333777315 3050800532778 4067734043704 5084667554630 6101601065556 7627001331945 8135468087408 10169335109260 12203202131112 15254002663890 20338670218520 24406404262224 30508005327780 40677340437040 61016010655560 122032021311120