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122048004 = 223136711677
BaseRepresentation
bin1110100011001…
…00111000000100
322111122200101110
413101210320010
5222221014004
620035525020
73011251041
oct721447004
9274580343
10122048004
1162990521
1234a59770
131c393170
14122d01c8
15aaac589
hex7464e04

122048004 has 48 divisors (see below), whose sum is σ = 311288768. Its totient is φ = 36989568.

The previous prime is 122047999. The next prime is 122048009. The reversal of 122048004 is 400840221.

It is an interprime number because it is at equal distance from previous prime (122047999) and next prime (122048009).

It is not an unprimeable number, because it can be changed into a prime (122048009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4614 + ... + 16290.

Almost surely, 2122048004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122048004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155644384).

122048004 is an abundant number, since it is smaller than the sum of its proper divisors (189240764).

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

122048004 is a wasteful number, since it uses less digits than its factorization.

122048004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11764 (or 11762 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 122048004 is about 11047.5338424465. The cubic root of 122048004 is about 496.0326082013.

Adding to 122048004 its reverse (400840221), we get a palindrome (522888225).

The spelling of 122048004 in words is "one hundred twenty-two million, forty-eight thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 67 78 134 156 201 268 402 804 871 1742 2613 3484 5226 10452 11677 23354 35031 46708 70062 140124 151801 303602 455403 607204 782359 910806 1564718 1821612 2347077 3129436 4694154 9388308 10170667 20341334 30512001 40682668 61024002 122048004