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12001001978232 = 23323125253212917
BaseRepresentation
bin1010111010100011001101…
…1101011011100101111000
31120111021200110110212112100
42232220303131123211320
53033111023001300412
641305103441543400
72346021005462601
oct256506335334570
946437613425470
1012001001978232
113907661829993
121419a5b344b60
136908c7170307
142d6bccac2da8
1515c290d92edc
hexaea3375b978

12001001978232 has 96 divisors (see below), whose sum is σ = 33552674513280. Its totient is φ = 3871119479040.

The previous prime is 12001001978219. The next prime is 12001001978233. The reversal of 12001001978232 is 23287910010021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001001978233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56258238 + ... + 56471154.

It is an arithmetic number, because the mean of its divisors is an integer number (349507026180).

Almost surely, 212001001978232 is an apocalyptic number.

12001001978232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12001001978232 is an abundant number, since it is smaller than the sum of its proper divisors (21551672535048).

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

12001001978232 is a wasteful number, since it uses less digits than its factorization.

12001001978232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238213 (or 238206 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 12001001978232 its reverse (23287910010021), we get a palindrome (35288911988253).

The spelling of 12001001978232 in words is "twelve trillion, one billion, one million, nine hundred seventy-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 25253 50506 75759 101012 151518 202024 212917 227277 303036 425834 454554 606072 638751 782843 851668 909108 1277502 1565686 1703336 1818216 1916253 2348529 2555004 3131372 3832506 4697058 5110008 6262744 6600427 7045587 7665012 9394116 13200854 14091174 15330024 18788232 19801281 26401708 28182348 39602562 52803416 56364696 59403843 79205124 118807686 158410248 237615372 475230744 5376793001 10753586002 16130379003 21507172004 32260758006 43014344008 48391137009 64521516012 96782274018 129043032024 166680583031 193564548036 333361166062 387129096072 500041749093 666722332124 1000083498186 1333444664248 1500125247279 2000166996372 3000250494558 4000333992744 6000500989116 12001001978232