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119121344000 = 29533160041
BaseRepresentation
bin110111011110000101…
…1110111011000000000
3102101110202211021001122
41232330023313120000
53422430031002000
6130420143451412
711414636501051
oct1567413673000
9371422737048
10119121344000
114657899093a
121b1055b6b68
13b305154a89
145aa0784728
153172c93085
hex1bbc2f7600

119121344000 has 160 divisors (see below), whose sum is σ = 306623446272. Its totient is φ = 46110720000.

The previous prime is 119121343997. The next prime is 119121344057. The reversal of 119121344000 is 443121911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953980 + ... + 2014020.

Almost surely, 2119121344000 is an apocalyptic number.

119121344000 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 119121344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153311723136).

119121344000 is an abundant number, since it is smaller than the sum of its proper divisors (187502102272).

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

119121344000 is an frugal number, since it uses more digits than its factorization.

119121344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60105 (or 60079 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 119121344000 its reverse (443121911), we get a palindrome (119564465911).

The spelling of 119121344000 in words is "one hundred nineteen billion, one hundred twenty-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 256 310 320 400 496 500 512 620 640 775 800 992 1000 1240 1280 1550 1600 1984 2000 2480 2560 3100 3200 3875 3968 4000 4960 6200 6400 7750 7936 8000 9920 12400 12800 15500 15872 16000 19840 24800 31000 32000 39680 49600 60041 62000 64000 79360 99200 120082 124000 198400 240164 248000 300205 396800 480328 496000 600410 960656 992000 1200820 1501025 1861271 1921312 1984000 2401640 3002050 3722542 3842624 4803280 6004100 7445084 7505125 7685248 9306355 9606560 12008200 14890168 15010250 15370496 18612710 19213120 24016400 29780336 30020500 30740992 37225420 38426240 46531775 48032800 59560672 60041000 74450840 76852480 93063550 96065600 119121344 120082000 148901680 153704960 186127100 192131200 232658875 238242688 240164000 297803360 372254200 384262400 465317750 476485376 480328000 595606720 744508400 768524800 930635500 952970752 960656000 1191213440 1489016800 1861271000 1921312000 2382426880 2978033600 3722542000 3842624000 4764853760 5956067200 7445084000 11912134400 14890168000 23824268800 29780336000 59560672000 119121344000