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121347072 = 2103471119
BaseRepresentation
bin1110011101110…
…01110000000000
322110100001220000
413032321300000
5222031101242
620012520000
73002301360
oct716716000
9273301800
10121347072
1162551940
1234780000
131c1a9102
141218a9a0
15a9bea4c
hex73b9c00

121347072 has 440 divisors, whose sum is σ = 475559040. Its totient is φ = 29859840.

The previous prime is 121347067. The next prime is 121347077. The reversal of 121347072 is 270743121.

It is a happy number.

121347072 is a `hidden beast` number, since 121 + 3 + 470 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (121347067) and next prime (121347077).

It is a super-2 number, since 2×1213470722 = 29450223765946368, 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 not an unprimeable number, because it can be changed into a prime (121347077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386679 + ... + 6386697.

It is an arithmetic number, because the mean of its divisors is an integer number (1080816).

Almost surely, 2121347072 is an apocalyptic number.

121347072 is a gapful number since it is divisible by the number (12) 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 121347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237779520).

121347072 is an abundant number, since it is smaller than the sum of its proper divisors (354211968).

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

121347072 is a wasteful number, since it uses less digits than its factorization.

121347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 121347072 is about 11015.7647033694. The cubic root of 121347072 is about 495.0811988008.

The spelling of 121347072 in words is "one hundred twenty-one million, three hundred forty-seven thousand, seventy-two".