Search a number
-
+
1220001213000 = 233532352133937
BaseRepresentation
bin10001110000001101101…
…111010010101001001000
311022122000222112000011010
4101300031233102221020
5124442030302304000
62332243312003520
7154066524131253
oct21601557225110
94278028460133
101220001213000
11430443974499
1217853bb305a0
138b0792c879b
1443096a4809a
1521b05ae5d50
hex11c0dbd2a48

1220001213000 has 256 divisors, whose sum is σ = 3979640471040. Its totient is φ = 310582272000.

The previous prime is 1220001212981. The next prime is 1220001213001. The reversal of 1220001213000 is 3121000221.

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

It is not an unprimeable number, because it can be changed into a prime (1220001213001) 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, 35932032 + ... + 35965968.

It is an arithmetic number, because the mean of its divisors is an integer number (15545470590).

Almost surely, 21220001213000 is an apocalyptic number.

1220001213000 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 1220001213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989820235520).

1220001213000 is an abundant number, since it is smaller than the sum of its proper divisors (2759639258040).

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

1220001213000 is a wasteful number, since it uses less digits than its factorization.

1220001213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34505 (or 34491 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1220001213000 its reverse (3121000221), we get a palindrome (1223122213221).

The spelling of 1220001213000 in words is "one trillion, two hundred twenty billion, one million, two hundred thirteen thousand".