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122023936 = 212313
BaseRepresentation
bin1110100010111…
…11000000000000
322111121110101001
413101133000000
5222214231221
620035221344
73011120626
oct721370000
9274543331
10122023936
1162974431
1234a47854
131c385218
14122c5516
15aaa5391
hex745f000

122023936 has 52 divisors (see below), whose sum is σ = 252151744. Its totient is φ = 59043840.

The previous prime is 122023933. The next prime is 122023939. The reversal of 122023936 is 639320221.

The cubic root of 122023936 is 496.

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

It is an interprime number because it is at equal distance from previous prime (122023933) and next prime (122023939).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122023933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3936241 + ... + 3936271.

It is an arithmetic number, because the mean of its divisors is an integer number (4849072).

Almost surely, 2122023936 is an apocalyptic number.

122023936 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 122023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126075872).

122023936 is an abundant number, since it is smaller than the sum of its proper divisors (130127808).

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

122023936 is an frugal number, since it uses more digits than its factorization.

122023936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 122023936 is about 11046.4444958548. Note that the first 4 decimals coincide.

The spelling of 122023936 in words is "one hundred twenty-two million, twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1922 1984 2048 3844 3968 4096 7688 7936 15376 15872 29791 30752 31744 59582 61504 63488 119164 123008 126976 238328 246016 476656 492032 953312 984064 1906624 1968128 3813248 3936256 7626496 15252992 30505984 61011968 122023936