6122261340 has 576 divisors, whose sum is σ = 22862286720. Its totient is φ = 1347010560.

The previous prime is 6122261333. The next prime is 6122261359. The reversal of 6122261340 is 431622216.

6122261340 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 2 + 613 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100364910 + ... + 100364970.

It is an arithmetic number, because the mean of its divisors is an integer number (39691470).

Almost surely, 2^6122261340 is an apocalyptic number.

6122261340 is a gapful number since it is divisible by the number (60) 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 6122261340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11431143360).

6122261340 is an abundant number, since it is smaller than the sum of its proper divisors (16740025380).

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

6122261340 is a wasteful number, since it uses less digits than its factorization.

6122261340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6122261340 is about 78244.8805993082. The cubic root of 6122261340 is about 1829.3801179178.

Adding to 6122261340 its reverse (431622216), we get a palindrome (6553883556).

The spelling of 6122261340 in words is "six billion, one hundred twenty-two million, two hundred sixty-one thousand, three hundred forty".