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122971988240 = 24543251142421
BaseRepresentation
bin111001010000110110…
…0111010000100010000
3102202102010111020220222
41302201230322010100
54003321312110430
6132254220252212
711612234440103
oct1624154720420
9382363436828
10122971988240
1148174532952
121b9bb0a1068
13b799b418aa
145d47d3a73a
1532ead649e5
hex1ca1b3a110

122971988240 has 80 divisors (see below), whose sum is σ = 293726575296. Its totient is φ = 47853120000.

The previous prime is 122971988221. The next prime is 122971988263. The reversal of 122971988240 is 42889179221.

It is a tau number, because it is divible by the number of its divisors (80).

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, 792230 + ... + 934650.

Almost surely, 2122971988240 is an apocalyptic number.

122971988240 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 122971988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146863287648).

122971988240 is an abundant number, since it is smaller than the sum of its proper divisors (170754587056).

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

122971988240 is a wasteful number, since it uses less digits than its factorization.

122971988240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142728 (or 142722 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 122971988240 in words is "one hundred twenty-two billion, nine hundred seventy-one million, nine hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 251 344 430 502 688 860 1004 1255 1720 2008 2510 3440 4016 5020 10040 10793 20080 21586 43172 53965 86344 107930 142421 172688 215860 284842 431720 569684 712105 863440 1139368 1424210 2278736 2848420 5696840 6124103 11393680 12248206 24496412 30620515 35747671 48992824 61241030 71495342 97985648 122482060 142990684 178738355 244964120 285981368 357476710 489928240 571962736 714953420 1429906840 1537149853 2859813680 3074299706 6148599412 7685749265 12297198824 15371498530 24594397648 30742997060 61485994120 122971988240