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122260992 = 293783137
BaseRepresentation
bin1110100100110…
…00111000000000
322112001111112220
413102120320000
5222244322432
620044251040
73013126020
oct722307000
9275044486
10122260992
1163016547
1234b40a80
131c4390a9
1412347a80
15ab0072c
hex7498e00

122260992 has 160 divisors (see below), whose sum is σ = 379475712. Its totient is φ = 34258944.

The previous prime is 122260981. The next prime is 122261033. The reversal of 122260992 is 299062221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892348 + ... + 892484.

Almost surely, 2122260992 is an apocalyptic number.

122260992 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 122260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189737856).

122260992 is an abundant number, since it is smaller than the sum of its proper divisors (257214720).

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

122260992 is an equidigital number, since it uses as much as digits as its factorization.

122260992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 122260992 is about 11057.1692579973. The cubic root of 122260992 is about 496.3209854316.

The spelling of 122260992 in words is "one hundred twenty-two million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 137 166 168 192 224 249 256 274 332 336 384 411 448 498 512 548 581 664 672 768 822 896 959 996 1096 1162 1328 1344 1536 1644 1743 1792 1918 1992 2192 2324 2656 2688 2877 3288 3486 3584 3836 3984 4384 4648 5312 5376 5754 6576 6972 7672 7968 8768 9296 10624 10752 11371 11508 13152 13944 15344 15936 17536 18592 21248 22742 23016 26304 27888 30688 31872 34113 35072 37184 42496 45484 46032 52608 55776 61376 63744 68226 70144 74368 79597 90968 92064 105216 111552 122752 127488 136452 148736 159194 181936 184128 210432 223104 238791 245504 272904 297472 318388 363872 368256 446208 477582 491008 545808 636776 727744 736512 892416 955164 1091616 1273552 1455488 1473024 1910328 2183232 2547104 2910976 3820656 4366464 5094208 5821952 7641312 8732928 10188416 15282624 17465856 20376832 30565248 40753664 61130496 122260992