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12113221131120 = 2435200989251117
BaseRepresentation
bin1011000001000101010000…
…1111100001101101110000
31120220000100012121111101010
42300101110033201231300
53041430334102143440
641432423103510520
72360102624522544
oct260212417415560
946800305544333
1012113221131120
1139502085a044a
1214377592b8440
1369b36c346525
142dc3d68cba24
1516015cbdc580
hexb04543e1b70

12113221131120 has 80 divisors (see below), whose sum is σ = 37551321874080. Its totient is φ = 3230163366912.

The previous prime is 12113221131091. The next prime is 12113221131203. The reversal of 12113221131120 is 2113112231121.

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

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, 48111802 + ... + 48362918.

It is an arithmetic number, because the mean of its divisors is an integer number (469391523426).

Almost surely, 212113221131120 is an apocalyptic number.

12113221131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12113221131120 is an abundant number, since it is smaller than the sum of its proper divisors (25438100742960).

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

12113221131120 is a wasteful number, since it uses less digits than its factorization.

12113221131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452122 (or 452116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12113221131120 its reverse (2113112231121), we get a palindrome (14226333362241).

The spelling of 12113221131120 in words is "twelve trillion, one hundred thirteen billion, two hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 200989 251117 401978 502234 602967 753351 803956 1004468 1004945 1205934 1255585 1506702 1607912 2008936 2009890 2411868 2511170 3013404 3014835 3215824 3766755 4017872 4019780 4823736 5022340 6026808 6029670 7533510 8039560 9647472 10044680 12053616 12059340 15067020 16079120 20089360 24118680 30134040 48237360 60268080 50471754713 100943509426 151415264139 201887018852 252358773565 302830528278 403774037704 504717547130 605661056556 757076320695 807548075408 1009435094260 1211322113112 1514152641390 2018870188520 2422644226224 3028305282780 4037740377040 6056610565560 12113221131120