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122449920 = 212351993
BaseRepresentation
bin1110100110001…
…11000000000000
322112102002201020
413103013000000
5222321344140
620052305440
73014543565
oct723070000
9275362636
10122449920
116313548a
1235012280
131c4a4098
141239686c
15ab3b6d0
hex74c7000

122449920 has 104 divisors (see below), whose sum is σ = 391988496. Its totient is φ = 32636928.

The previous prime is 122449891. The next prime is 122449949. The reversal of 122449920 is 29944221.

It is an interprime number because it is at equal distance from previous prime (122449891) and next prime (122449949).

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, 60444 + ... + 62436.

Almost surely, 2122449920 is an apocalyptic number.

122449920 is a gapful number since it is divisible by the number (10) 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 122449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195994248).

122449920 is an abundant number, since it is smaller than the sum of its proper divisors (269538576).

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

122449920 is an equidigital number, since it uses as much as digits as its factorization.

122449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 122449920 is about 11065.7091955283. The cubic root of 122449920 is about 496.5765062131.

The spelling of 122449920 in words is "one hundred twenty-two million, four hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 1993 2048 2560 3072 3840 3986 4096 5120 5979 6144 7680 7972 9965 10240 11958 12288 15360 15944 19930 20480 23916 29895 30720 31888 39860 47832 59790 61440 63776 79720 95664 119580 127552 159440 191328 239160 255104 318880 382656 478320 510208 637760 765312 956640 1020416 1275520 1530624 1913280 2040832 2551040 3061248 3826560 4081664 5102080 6122496 7653120 8163328 10204160 12244992 15306240 20408320 24489984 30612480 40816640 61224960 122449920