Search a number
-
+
122121461 = 7111585993
BaseRepresentation
bin1110100011101…
…10110011110101
322111210102011002
413101312303311
5222230341321
620041253045
73012005150
oct721666365
9274712132
10122121461
1162a30730
1234a94185
131c3ba727
141230cc97
15aac420b
hex7476cf5

122121461 has 8 divisors (see below), whose sum is σ = 152255424. Its totient is φ = 95159520.

The previous prime is 122121449. The next prime is 122121479. The reversal of 122121461 is 164121221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122121461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792920 + ... + 793073.

It is an arithmetic number, because the mean of its divisors is an integer number (19031928).

Almost surely, 2122121461 is an apocalyptic number.

122121461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122121461 is a deficient number, since it is larger than the sum of its proper divisors (30133963).

122121461 is a wasteful number, since it uses less digits than its factorization.

122121461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586011.

The product of its digits is 192, while the sum is 20.

The square root of 122121461 is about 11050.8579304957. The cubic root of 122121461 is about 496.1321039146.

Adding to 122121461 its reverse (164121221), we get a palindrome (286242682).

The spelling of 122121461 in words is "one hundred twenty-two million, one hundred twenty-one thousand, four hundred sixty-one".

Divisors: 1 7 11 77 1585993 11101951 17445923 122121461