121352256 has 189 divisors, whose sum is σ = 383690749. Its totient is φ = 38071296.

The previous prime is 121352249. The next prime is 121352263. The reversal of 121352256 is 652253121.

It is a happy number.

The square root of 121352256 is 11016.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (121352249) and next prime (121352263).

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 26873856 = 9720^2 + 5184^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7138360 + ... + 7138376.

Almost surely, 2^121352256 is an apocalyptic number.

121352256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121352256 is the 11016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121352256

121352256 is an abundant number, since it is smaller than the sum of its proper divisors (262338493).

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

121352256 is an frugal number, since it uses more digits than its factorization.

121352256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 22 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The cubic root of 121352256 is about 495.0882487289.

Multiplying 121352256 by its product of digits (3600), we get a square (436868121600 = 660960²).

The spelling of 121352256 in words is "one hundred twenty-one million, three hundred fifty-two thousand, two hundred fifty-six".