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120200150332052 = 227173531453349223
BaseRepresentation
bin11011010101001001000111…
…010000110011001010010100
3120202121000121010221101020122
4123111021013100303022110
5111223324401441111202
61103351104201051112
734214113531013060
oct3325110720631224
9522530533841218
10120200150332052
113533266328407a
1211593717186a98
13520ba96932c0b
142197a0b0c4aa0
15dd6a35dc29a2
hex6d5247433294

120200150332052 has 96 divisors (see below), whose sum is σ = 255285326080512. Its totient is φ = 48342436724736.

The previous prime is 120200150332051. The next prime is 120200150332247. The reversal of 120200150332052 is 250233051002021.

It is a happy number.

120200150332052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1202001503320522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200150332051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2441926313 + ... + 2441975535.

It is an arithmetic number, because the mean of its divisors is an integer number (2659222146672).

Almost surely, 2120200150332052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200150332052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127642663040256).

120200150332052 is an abundant number, since it is smaller than the sum of its proper divisors (135085175748460).

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

120200150332052 is a wasteful number, since it uses less digits than its factorization.

120200150332052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64137 (or 64135 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 120200150332052 in words is "one hundred twenty trillion, two hundred billion, one hundred fifty million, three hundred thirty-two thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 353 476 706 1412 2471 4942 6001 9884 12002 14533 24004 29066 42007 49223 58132 84014 98446 101731 168028 196892 203462 247061 344561 406924 494122 689122 836791 988244 1378244 1673582 1729427 3347164 3458854 5130149 5857537 6917708 10260298 11715074 17375719 20520596 23430148 34751438 35911043 69502876 71822086 87212533 121630033 143644172 174425066 243260066 295387223 348850132 486520132 590774446 610487731 715357859 1181548892 1220975462 1430715718 2067710561 2441950924 2861431436 4135421122 5007505013 8270842244 10015010026 12161083603 20030020052 24322167206 48644334412 85127585221 170255170442 252521324227 340510340884 505042648454 1010085296908 1767649269589 3535298539178 4292862511859 7070597078356 8585725023718 17171450047436 30050037583013 60100075166026 120200150332052