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1131202312120 = 2352925117832179
BaseRepresentation
bin10000011101100000111…
…010010111011110111000
311000010211102201110021101
4100131200322113132320
5122013200242441440
62223400035221144
7144504151001356
oct20354072273670
94003742643241
101131202312120
113a681623aa01
121632994477b4
138289729405a
143ca714847d6
151e659e2069a
hex10760e977b8

1131202312120 has 128 divisors (see below), whose sum is σ = 2646157248000. Its totient is φ = 434693952000.

The previous prime is 1131202312099. The next prime is 1131202312159. The reversal of 1131202312120 is 212132021311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519137191 + ... + 519139369.

It is an arithmetic number, because the mean of its divisors is an integer number (20673103500).

Almost surely, 21131202312120 is an apocalyptic number.

1131202312120 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 1131202312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323078624000).

1131202312120 is an abundant number, since it is smaller than the sum of its proper divisors (1514954935880).

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

1131202312120 is a wasteful number, since it uses less digits than its factorization.

1131202312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1131202312120 its reverse (212132021311), we get a palindrome (1343334333431).

The spelling of 1131202312120 in words is "one trillion, one hundred thirty-one billion, two hundred two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 251 290 502 580 1004 1160 1255 1783 2008 2179 2510 3566 4358 5020 7132 7279 8716 8915 10040 10895 14264 14558 17432 17830 21790 29116 35660 36395 43580 51707 58232 63191 71320 72790 87160 103414 126382 145580 206828 252764 258535 291160 315955 413656 447533 505528 517070 546929 631910 895066 1034140 1093858 1263820 1790132 2068280 2187716 2237665 2527640 2734645 3580264 3885157 4375432 4475330 5469290 7770314 8950660 10938580 12978457 15540628 15860941 17901320 19425785 21877160 25956914 31081256 31721882 38851570 51913828 63443764 64892285 77703140 79304705 103827656 112669553 126887528 129784570 155406280 158609410 225339106 259569140 317218820 450678212 519138280 563347765 634437640 901356424 975174407 1126695530 1950348814 2253391060 3900697628 4506782120 4875872035 7801395256 9751744070 19503488140 28280057803 39006976280 56560115606 113120231212 141400289015 226240462424 282800578030 565601156060 1131202312120