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121122072 = 23321682251
BaseRepresentation
bin1110011100000…
…10110100011000
322102220122020200
413032002310120
5222001401242
620004022200
73000343401
oct716026430
9272818220
10121122072
1162408895
1234691960
131c12a886
141212c9a8
15a97804c
hex7382d18

121122072 has 24 divisors (see below), whose sum is σ = 328039140. Its totient is φ = 40374000.

The previous prime is 121122047. The next prime is 121122073. The reversal of 121122072 is 270221121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 841054 + ... + 841197.

Almost surely, 2121122072 is an apocalyptic number.

121122072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121122072 is an abundant number, since it is smaller than the sum of its proper divisors (206917068).

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

121122072 is a wasteful number, since it uses less digits than its factorization.

121122072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682263 (or 1682256 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 121122072 is about 11005.5473285067. The cubic root of 121122072 is about 494.7750186658.

Adding to 121122072 its reverse (270221121), we get a palindrome (391343193).

The spelling of 121122072 in words is "one hundred twenty-one million, one hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1682251 3364502 5046753 6729004 10093506 13458008 15140259 20187012 30280518 40374024 60561036 121122072