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122028992 = 2617591901
BaseRepresentation
bin1110100011000…
…00001111000000
322111121201022022
413101200033000
5222214411432
620035301012
73011141441
oct721401700
9274551268
10122028992
1162978208
1234a4a768
131c387607
14122c72c8
15aaa6b12
hex74603c0

122028992 has 56 divisors (see below), whose sum is σ = 260878320. Its totient is φ = 56422400.

The previous prime is 122028979. The next prime is 122029003. The reversal of 122028992 is 299820221.

It is a super-3 number, since 3×1220289923 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63242 + ... + 65142.

Almost surely, 2122028992 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 122028992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130439160).

122028992 is an abundant number, since it is smaller than the sum of its proper divisors (138849328).

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

122028992 is a wasteful number, since it uses less digits than its factorization.

122028992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 122028992 is about 11046.6733454013. The cubic root of 122028992 is about 496.0068504083.

The spelling of 122028992 in words is "one hundred twenty-two million, twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 136 236 272 472 544 944 1003 1088 1888 1901 2006 3776 3802 4012 7604 8024 15208 16048 30416 32096 32317 60832 64192 64634 112159 121664 129268 224318 258536 448636 517072 897272 1034144 1794544 1906703 2068288 3589088 3813406 7178176 7626812 15253624 30507248 61014496 122028992