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12201434212440 = 2335119243510767
BaseRepresentation
bin1011000110001101111000…
…1001101110100001011000
31121012110000221002022220010
42301203132021232201120
53044402014124244230
641541132252201520
72366344625403624
oct261433611564130
947173027068803
1012201434212440
113984665582040
1214508777692a0
136a6789ba8975
143027a435a184
151625c22469b0
hexb18de26e858

12201434212440 has 64 divisors (see below), whose sum is σ = 39931966517760. Its totient is φ = 2957923445120.

The previous prime is 12201434212423. The next prime is 12201434212459. The reversal of 12201434212440 is 4421243410221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12201434212398 and 12201434212407.

It is a congruent number.

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, 4621754064 + ... + 4621756703.

It is an arithmetic number, because the mean of its divisors is an integer number (623936976840).

Almost surely, 212201434212440 is an apocalyptic number.

12201434212440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201434212440 is an abundant number, since it is smaller than the sum of its proper divisors (27730532305320).

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

12201434212440 is a wasteful number, since it uses less digits than its factorization.

12201434212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9243510792 (or 9243510788 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12201434212440 its reverse (4421243410221), we get a palindrome (16622677622661).

The spelling of 12201434212440 in words is "twelve trillion, two hundred one billion, four hundred thirty-four million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9243510767 18487021534 27730532301 36974043068 46217553835 55461064602 73948086136 92435107670 101678618437 110922129204 138652661505 184870215340 203357236874 221844258408 277305323010 305035855311 369740430680 406714473748 508393092185 554610646020 610071710622 813428947496 1016786184370 1109221292040 1220143421244 1525179276555 2033572368740 2440286842488 3050358553110 4067144737480 6100717106220 12201434212440