Search a number
-
+
21221232000120 = 2335525763113463
BaseRepresentation
bin1001101001100111100111…
…11111101011110001111000
32210010201201010220222100000
410310303303333223301320
510240142040343000440
6113044522134113000
74320116624525625
oct464636377536170
983121633828300
1021221232000120
116841968256069
1224689977ab760
13bac1cc593009
1453518252b34c
1526c02da49730
hex134cf3febc78

21221232000120 has 384 divisors, whose sum is σ = 71920844835840. Its totient is φ = 5627624325120.

The previous prime is 21221232000119. The next prime is 21221232000161. The reversal of 21221232000120 is 2100023212212.

21221232000120 is a `hidden beast` number, since 2 + 1 + 221 + 2 + 320 + 0 + 0 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21221232000093 and 21221232000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1576256509 + ... + 1576269971.

It is an arithmetic number, because the mean of its divisors is an integer number (187293866760).

Almost surely, 221221232000120 is an apocalyptic number.

21221232000120 is a gapful number since it is divisible by the number (20) 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 21221232000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35960422417920).

21221232000120 is an abundant number, since it is smaller than the sum of its proper divisors (50699612835720).

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

21221232000120 is a wasteful number, since it uses less digits than its factorization.

21221232000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14377 (or 14361 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21221232000120 its reverse (2100023212212), we get a palindrome (23321255212332).

The spelling of 21221232000120 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred thirty-two million, one hundred twenty", and thus it is an aban number.