Search a number
-
+
332121311220000 = 2535420323272369
BaseRepresentation
bin100101110000100000000010…
…0110001110001000100100000
31121112221111011012221200111110
41023201000010301301010200
5322012433421133020000
63134210231332543320
7126645654463060521
oct11341000461610440
91545844135850443
10332121311220000
1196907947887475
12312bb403181b40
1311341b9cb286c3
145c02a85bba848
15285e386775850
hex12e1004c71120

332121311220000 has 240 divisors, whose sum is σ = 1089481930558560. Its totient is φ = 88560999936000.

The previous prime is 332121311219993. The next prime is 332121311220043. The reversal of 332121311220000 is 22113121233.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3321213112200002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1219243816 + ... + 1219516184.

It is an arithmetic number, because the mean of its divisors is an integer number (4539508043994).

Almost surely, 2332121311220000 is an apocalyptic number.

332121311220000 is a gapful number since it is divisible by the number (30) 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 332121311220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544740965279280).

332121311220000 is an abundant number, since it is smaller than the sum of its proper divisors (757360619338560).

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

332121311220000 is a wasteful number, since it uses less digits than its factorization.

332121311220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292725 (or 292702 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 332121311220000 its reverse (22113121233), we get a palindrome (332143424341233).

The spelling of 332121311220000 in words is "three hundred thirty-two trillion, one hundred twenty-one billion, three hundred eleven million, two hundred twenty thousand".