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1332122399232 = 29323239157771
BaseRepresentation
bin10011011000101000101…
…011101011001000000000
311201100102220022102000020
4103120220223223020000
5133311141313233412
62455545114053440
7165146143365162
oct23305053531000
94640386272006
101332122399232
11473a4a403179
1219621111a280
13988070c0871
1448691830932
15249b903d18c
hex13628aeb200

1332122399232 has 160 divisors (see below), whose sum is σ = 3718673418240. Its totient is φ = 422954864640.

The previous prime is 1332122399213. The next prime is 1332122399273. The reversal of 1332122399232 is 2329932212331.

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, 8364507 + ... + 8522277.

It is an arithmetic number, because the mean of its divisors is an integer number (23241708864).

Almost surely, 21332122399232 is an apocalyptic number.

1332122399232 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 1332122399232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859336709120).

1332122399232 is an abundant number, since it is smaller than the sum of its proper divisors (2386551019008).

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

1332122399232 is a wasteful number, since it uses less digits than its factorization.

1332122399232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158054 (or 158038 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The spelling of 1332122399232 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-two million, three hundred ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 239 256 276 368 384 478 512 552 717 736 768 956 1104 1434 1472 1536 1912 2208 2868 2944 3824 4416 5497 5736 5888 7648 8832 10994 11472 11776 15296 16491 17664 21988 22944 30592 32982 35328 43976 45888 61184 65964 87952 91776 122368 131928 157771 175904 183552 263856 315542 351808 367104 473313 527712 631084 703616 946626 1055424 1262168 1407232 1893252 2110848 2524336 2814464 3628733 3786504 4221696 5048672 7257466 7573008 8443392 10097344 10886199 14514932 15146016 20194688 21772398 29029864 30292032 37707269 40389376 43544796 58059728 60584064 75414538 80778752 87089592 113121807 116119456 121168128 150829076 174179184 226243614 232238912 242336256 301658152 348358368 452487228 464477824 603316304 696716736 867267187 904974456 928955648 1206632608 1393433472 1734534374 1809948912 1857911296 2413265216 2601801561 2786866944 3469068748 3619897824 4826530432 5203603122 5573733888 6938137496 7239795648 9653060864 10407206244 13876274992 14479591296 19306121728 20814412488 27752549984 28959182592 41628824976 55505099968 57918365184 83257649952 111010199936 166515299904 222020399872 333030599808 444040799744 666061199616 1332122399232