Search a number
-
+
1220211102000 = 243531167275941
BaseRepresentation
bin10001110000011010001…
…111111101000100110000
311022122120121110110201210
4101300122033331010300
5124442443020231000
62332320210400120
7154104653143452
oct21603217750460
94278517413653
101220211102000
114305413a1180
1217859a290040
138b0b0935c67
14430b68822d2
1521b19255350
hex11c1a3fd130

1220211102000 has 320 divisors, whose sum is σ = 4355662791168. Its totient is φ = 291392640000.

The previous prime is 1220211101983. The next prime is 1220211102059. The reversal of 1220211102000 is 2011120221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4284030 + ... + 4559970.

Almost surely, 21220211102000 is an apocalyptic number.

1220211102000 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 1220211102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177831395584).

1220211102000 is an abundant number, since it is smaller than the sum of its proper divisors (3135451689168).

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

1220211102000 is a wasteful number, since it uses less digits than its factorization.

1220211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276045 (or 276029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220211102000 its reverse (2011120221), we get a palindrome (1222222222221).

The spelling of 1220211102000 in words is "one trillion, two hundred twenty billion, two hundred eleven million, one hundred two thousand".