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122790132 = 223231472341
BaseRepresentation
bin1110101000110…
…10000011110100
322120001101101200
413110122003310
5222413241012
620103452500
73020461503
oct724320364
9276041350
10122790132
1163348053
1235157130
131c592baa
141244483a
15aba73dc
hex751a0f4

122790132 has 72 divisors (see below), whose sum is σ = 327355392. Its totient is φ = 38750400.

The previous prime is 122790127. The next prime is 122790139. The reversal of 122790132 is 231097221.

It is a junction number, because it is equal to n+sod(n) for n = 122790096 and 122790105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122790139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51282 + ... + 53622.

Almost surely, 2122790132 is an apocalyptic number.

122790132 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 122790132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163677696).

122790132 is an abundant number, since it is smaller than the sum of its proper divisors (204565260).

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

122790132 is a wasteful number, since it uses less digits than its factorization.

122790132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 122790132 is about 11081.0708868773. The cubic root of 122790132 is about 497.0359731434.

The spelling of 122790132 in words is "one hundred twenty-two million, seven hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 62 93 94 124 141 186 188 279 282 372 423 558 564 846 1116 1457 1692 2341 2914 4371 4682 5828 7023 8742 9364 13113 14046 17484 21069 26226 28092 42138 52452 72571 84276 110027 145142 217713 220054 290284 330081 435426 440108 653139 660162 870852 990243 1306278 1320324 1980486 2612556 3410837 3960972 6821674 10232511 13643348 20465022 30697533 40930044 61395066 122790132