Search a number
-
+
1197261120000 = 29354113937
BaseRepresentation
bin10001011011000010010…
…100101110001000000000
311020110100012000120221110
4101123002110232020000
5124103442321320000
62314003020523320
7152333150415111
oct21330224561000
94213305016843
101197261120000
11421834765000
121740543b0540
1388b9403a45a
1441d3a894208
1521224525850
hex116c252e200

1197261120000 has 800 divisors, whose sum is σ = 4388646233664. Its totient is φ = 289935360000.

The previous prime is 1197261119959. The next prime is 1197261120049. The reversal of 1197261120000 is 211627911.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1197261120000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1277759532 + ... + 1277760468.

Almost surely, 21197261120000 is an apocalyptic number.

1197261120000 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 1197261120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194323116832).

1197261120000 is an abundant number, since it is smaller than the sum of its proper divisors (3191385113664).

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

1197261120000 is an frugal number, since it uses more digits than its factorization.

1197261120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

Adding to 1197261120000 its reverse (211627911), we get a palindrome (1197472747911).

The spelling of 1197261120000 in words is "one trillion, one hundred ninety-seven billion, two hundred sixty-one million, one hundred twenty thousand".