121261536 has 120 divisors (see below), whose sum is σ = 389138904. Its totient is φ = 36737280.

The previous prime is 121261529. The next prime is 121261549. The reversal of 121261536 is 635162121.

121261536 is a `hidden beast` number, since 1 + 2 + 12 + 615 + 36 = 666.

It is a super-2 number, since 2×121261536² = 29408720226158592, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 26386 + ... + 30638.

Almost surely, 2^121261536 is an apocalyptic number.

121261536 is a gapful number since it is divisible by the number (16) 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 121261536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194569452).

121261536 is an abundant number, since it is smaller than the sum of its proper divisors (267877368).

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

121261536 is a wasteful number, since it uses less digits than its factorization.

121261536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4269 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 121261536 is about 11011.8815830901. The cubic root of 121261536 is about 494.9648459883.

The spelling of 121261536 in words is "one hundred twenty-one million, two hundred sixty-one thousand, five hundred thirty-six".