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120897391400 = 235219191316631
BaseRepresentation
bin111000010011000001…
…0111100101100101000
3102120001112202211001222
41300212002330230220
53440044213011100
6131312310401212
711506643604602
oct1604602745450
9376045684058
10120897391400
11472aa475605
121b520360208
13b5290a95b6
145bcc5c4172
153228b69485
hex1c260bcb28

120897391400 has 96 divisors (see below), whose sum is σ = 296052926400. Its totient is φ = 45787046400.

The previous prime is 120897391367. The next prime is 120897391543. The reversal of 120897391400 is 4193798021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7261085 + ... + 7277715.

It is an arithmetic number, because the mean of its divisors is an integer number (3083884650).

Almost surely, 2120897391400 is an apocalyptic number.

120897391400 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 120897391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148026463200).

120897391400 is an abundant number, since it is smaller than the sum of its proper divisors (175155535000).

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

120897391400 is a wasteful number, since it uses less digits than its factorization.

120897391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18579 (or 18570 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 120897391400 in words is "one hundred twenty billion, eight hundred ninety-seven million, three hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 1913 3800 3826 7652 9565 15304 16631 19130 33262 36347 38260 47825 66524 72694 76520 83155 95650 133048 145388 166310 181735 191300 290776 315989 332620 363470 382600 415775 631978 665240 726940 831550 908675 1263956 1453880 1579945 1663100 1817350 2527912 3159890 3326200 3634700 6319780 7269400 7899725 12639560 15799450 31598900 31815103 63197800 63630206 127260412 159075515 254520824 318151030 604486957 636302060 795377575 1208973914 1272604120 1590755150 2417947828 3022434785 3181510300 4835895656 6044869570 6363020600 12089739140 15112173925 24179478280 30224347850 60448695700 120897391400