Search a number
-
+
1202120220000 = 2535474576263
BaseRepresentation
bin10001011111100011111…
…100101101110101100000
311020220212211021110001010
4101133203330231311200
5124143420234020000
62320125120140520
7152564442163320
oct21374374556540
94226784243033
101202120220000
114238a8585827
12174b8b767740
138948993515b
144227bd59280
152140ade8d50
hex117e3f2dd60

1202120220000 has 480 divisors, whose sum is σ = 4517090468352. Its totient is φ = 274125312000.

The previous prime is 1202120219917. The next prime is 1202120220011. The reversal of 1202120220000 is 220212021.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 191936869 + ... + 191943131.

Almost surely, 21202120220000 is an apocalyptic number.

1202120220000 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 1202120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258545234176).

1202120220000 is an abundant number, since it is smaller than the sum of its proper divisors (3314970248352).

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

1202120220000 is an equidigital number, since it uses as much as digits as its factorization.

1202120220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1202120220000 its reverse (220212021), we get a palindrome (1202340432021).

The spelling of 1202120220000 in words is "one trillion, two hundred two billion, one hundred twenty million, two hundred twenty thousand".