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1201234313020 = 225721967939497
BaseRepresentation
bin10001011110101111001…
…001001111111100111100
311020211121002021201010111
4101132233021033330330
5124140111441004040
62315501152115404
7152533464122200
oct21365711177474
94224532251114
101201234313020
114234934a97a5
12174982b35b64
1389378234341
14421d642ab00
15213a8252dea
hex117af24ff3c

1201234313020 has 144 divisors (see below), whose sum is σ = 3089668246560. Its totient is φ = 390076839936.

The previous prime is 1201234312987. The next prime is 1201234313029. The reversal of 1201234313020 is 203134321021.

It is a junction number, because it is equal to n+sod(n) for n = 1201234312982 and 1201234313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201234313029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126480912 + ... + 126490408.

It is an arithmetic number, because the mean of its divisors is an integer number (21456029490).

Almost surely, 21201234313020 is an apocalyptic number.

1201234313020 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 1201234313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544834123280).

1201234313020 is an abundant number, since it is smaller than the sum of its proper divisors (1888433933540).

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

1201234313020 is a wasteful number, since it uses less digits than its factorization.

1201234313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16332 (or 16323 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1201234313020 its reverse (203134321021), we get a palindrome (1404368634041).

The spelling of 1201234313020 in words is "one trillion, two hundred one billion, two hundred thirty-four million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 6793 9310 9497 13586 18620 18994 27172 33965 37988 47485 47551 66479 67930 94970 95102 129067 132958 135860 180443 189940 190204 237755 258134 265916 332395 332857 360886 465353 475510 516268 645335 664790 665714 721772 902215 903469 930706 951020 1263101 1290670 1329580 1331428 1664285 1804430 1806938 1861412 2326765 2526202 2581340 3328570 3608860 3613876 4517345 4653530 5052404 6315505 6324283 6657140 8841707 9034690 9307060 12631010 12648566 17683414 18069380 25262020 25297132 31621415 35366828 44208535 63242830 64513121 88417070 126485660 129026242 176834140 258052484 322565605 451591847 645131210 903183694 1225749299 1290262420 1806367388 2257959235 2451498598 3161142929 4515918470 4902997196 6128746495 6322285858 8580245093 9031836940 12257492990 12644571716 15805714645 17160490186 24514985980 31611429290 34320980372 42901225465 60061715651 63222858580 85802450930 120123431302 171604901860 240246862604 300308578255 600617156510 1201234313020