Search a number
-
+
1201012121220 = 223537977197757
BaseRepresentation
bin10001011110100001111…
…001101001111010000100
311020211000121012012021120
4101132201321221322010
5124134133100334340
62315423133513540
7152525125406532
oct21364171517204
94224017165246
101201012121220
1142338a03980a
121749206428b0
13893411aa0c2
14421b4b0d152
15213939b34d0
hex117a1e69e84

1201012121220 has 192 divisors, whose sum is σ = 3494630200320. Its totient is φ = 307932807168.

The previous prime is 1201012121167. The next prime is 1201012121227. The reversal of 1201012121220 is 221212101021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201012121220.

It is not an unprimeable number, because it can be changed into a prime (1201012121227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154825582 + ... + 154833338.

It is an arithmetic number, because the mean of its divisors is an integer number (18201198960).

Almost surely, 21201012121220 is an apocalyptic number.

1201012121220 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 1201012121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747315100160).

1201012121220 is an abundant number, since it is smaller than the sum of its proper divisors (2293618079100).

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

1201012121220 is a wasteful number, since it uses less digits than its factorization.

1201012121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8622 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1201012121220 its reverse (221212101021), we get a palindrome (1422224222241).

The spelling of 1201012121220 in words is "one trillion, two hundred one billion, twelve million, one hundred twenty-one thousand, two hundred twenty".