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121245696 = 21232111323
BaseRepresentation
bin1110011101000…
…01000000000000
322110010220211100
413032201000000
5222014330241
620010414400
73001366665
oct716410000
9273126740
10121245696
1162492760
1234731400
131c171c20
1412161a6c
15a99e9b6
hex73a1000

121245696 has 312 divisors, whose sum is σ = 429339456. Its totient is φ = 32440320.

The previous prime is 121245637. The next prime is 121245697. The reversal of 121245696 is 696542121.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 121245696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121245697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5271541 + ... + 5271563.

It is an arithmetic number, because the mean of its divisors is an integer number (1376088).

Almost surely, 2121245696 is an apocalyptic number.

121245696 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 121245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214669728).

121245696 is an abundant number, since it is smaller than the sum of its proper divisors (308093760).

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

121245696 is a wasteful number, since it uses less digits than its factorization.

121245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 121245696 is about 11011.1623364657. The cubic root of 121245696 is about 494.9432931673.

The spelling of 121245696 in words is "one hundred twenty-one million, two hundred forty-five thousand, six hundred ninety-six".