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1213200131440 = 245118531616221
BaseRepresentation
bin10001101001111000010…
…111001110010101110000
311021222111000002021011111
4101221320113032111300
5124334113213201230
62325200401123104
7153436141653163
oct21517027162560
94258430067144
101213200131440
11428573934230
12177162329494
138a53428b77b
1442a0d6abada
15218589c092a
hex11a785ce570

1213200131440 has 80 divisors (see below), whose sum is σ = 3080726008416. Its totient is φ = 440646220800.

The previous prime is 1213200131411. The next prime is 1213200131447. The reversal of 1213200131440 is 441310023121.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213200131447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57471 + ... + 1558750.

Almost surely, 21213200131440 is an apocalyptic number.

1213200131440 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 1213200131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540363004208).

1213200131440 is an abundant number, since it is smaller than the sum of its proper divisors (1867525876976).

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

1213200131440 is a wasteful number, since it uses less digits than its factorization.

1213200131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617098 (or 1617092 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1213200131440 its reverse (441310023121), we get a palindrome (1654510154561).

The spelling of 1213200131440 in words is "one trillion, two hundred thirteen billion, two hundred million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 853 880 1706 3412 4265 6824 8530 9383 13648 17060 18766 34120 37532 46915 68240 75064 93830 150128 187660 375320 750640 1616221 3232442 6464884 8081105 12929768 16162210 17778431 25859536 32324420 35556862 64648840 71113724 88892155 129297680 142227448 177784310 284454896 355568620 711137240 1378636513 1422274480 2757273026 5514546052 6893182565 11029092104 13786365130 15165001643 22058184208 27572730260 30330003286 55145460520 60660006572 75825008215 110290921040 121320013144 151650016430 242640026288 303300032860 606600065720 1213200131440