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120132042510450 = 23528319051506491
BaseRepresentation
bin11011010100001001101011…
…101110000101000001110010
3120202100111210121001120011110
4123110021223232011001302
5111221220410340313300
61103255522022054150
734206153001045365
oct3324115356050162
9522314717046143
10120132042510450
1135306793185703
1211582489b7a356
135205531510c69
1421945c98dc0dc
15dd4d9b977550
hex6d426bb85072

120132042510450 has 96 divisors (see below), whose sum is σ = 301533375128832. Its totient is φ = 31647521160000.

The previous prime is 120132042510433. The next prime is 120132042510539. The reversal of 120132042510450 is 54015240231021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236931705 + ... + 237438195.

It is an arithmetic number, because the mean of its divisors is an integer number (3140972657592).

Almost surely, 2120132042510450 is an apocalyptic number.

120132042510450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120132042510450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150766687564416).

120132042510450 is an abundant number, since it is smaller than the sum of its proper divisors (181401332618382).

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

120132042510450 is a wasteful number, since it uses less digits than its factorization.

120132042510450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525640 (or 525635 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 120132042510450 its reverse (54015240231021), we get a palindrome (174147282741471).

The spelling of 120132042510450 in words is "one hundred twenty trillion, one hundred thirty-two billion, forty-two million, five hundred ten thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 83 150 166 249 415 498 830 1245 2075 2490 4150 6225 12450 19051 38102 57153 95255 114306 190510 285765 476275 506491 571530 952550 1012982 1428825 1519473 1581233 2532455 2857650 3038946 3162466 4743699 5064910 7597365 7906165 9487398 12662275 15194730 15812330 23718495 25324550 37986825 39530825 42038753 47436990 75973650 79061650 84077506 118592475 126116259 210193765 237184950 252232518 420387530 630581295 1050968825 1261162590 2101937650 3152906475 6305812950 9649160041 19298320082 28947480123 48245800205 57894960246 96491600410 144737400615 241229001025 289474801230 482458002050 723687003075 800880283403 1447374006150 1601760566806 2402640850209 4004401417015 4805281700418 8008802834030 12013204251045 20022007085075 24026408502090 40044014170150 60066021255225 120132042510450