Search a number
-
+
1220524052000 = 255311191459957
BaseRepresentation
bin10001110000101100111…
…001110000111000100000
311022200101102022222102112
4101300230321300320200
5124444113124131000
62332411230134452
7154115503160231
oct21605471607040
94280342288375
101220524052000
11430692010140
12178667051428
138b130719286
1443106267088
1521b36971235
hex11c2ce70e20

1220524052000 has 192 divisors, whose sum is σ = 3443632133760. Its totient is φ = 420467328000.

The previous prime is 1220524051993. The next prime is 1220524052009. The reversal of 1220524052000 is 2504250221.

It is not an unprimeable number, because it can be changed into a prime (1220524052009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106022 + ... + 1565978.

It is an arithmetic number, because the mean of its divisors is an integer number (17935584030).

Almost surely, 21220524052000 is an apocalyptic number.

1220524052000 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 1220524052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721816066880).

1220524052000 is an abundant number, since it is smaller than the sum of its proper divisors (2223108081760).

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

1220524052000 is a wasteful number, since it uses less digits than its factorization.

1220524052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460012 (or 1459994 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The spelling of 1220524052000 in words is "one trillion, two hundred twenty billion, five hundred twenty-four million, fifty-two thousand".