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121640109084624 = 243132116991132151
BaseRepresentation
bin11011101010000110001011…
…011111100000111111010000
3120221200200101100101010101110
4123222012023133200333100
5111420422420411201444
61110412410014333320
734423131204322044
oct3352061337407720
9527620340333343
10121640109084624
113583830a477619
12117868024ba240
1352b47c7ba9a80
1422075ac602024
15e0e2120bccb9
hex6ea18b7e0fd0

121640109084624 has 160 divisors (see below), whose sum is σ = 340064064729088. Its totient is φ = 37244733120000.

The previous prime is 121640109084587. The next prime is 121640109084737. The reversal of 121640109084624 is 426480901046121.

It is a super-2 number, since 2×1216401090846242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920396949 + ... + 920529099.

Almost surely, 2121640109084624 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 121640109084624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170032032364544).

121640109084624 is an abundant number, since it is smaller than the sum of its proper divisors (218423955644464).

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

121640109084624 is a wasteful number, since it uses less digits than its factorization.

121640109084624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139377 (or 139371 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 121640109084624 in words is "one hundred twenty-one trillion, six hundred forty billion, one hundred nine million, eighty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 211 312 422 624 633 844 1266 1688 2532 2743 3376 5064 5486 6991 8229 10128 10972 13982 16458 20973 21944 27964 32916 41946 43888 55928 65832 83892 90883 111856 131664 132151 167784 181766 264302 272649 335568 363532 396453 528604 545298 727064 792906 1057208 1090596 1454128 1475101 1585812 1717963 2114416 2181192 2950202 3171624 3435926 4362384 4425303 5153889 5900404 6343248 6871852 8850606 10307778 11800808 13743704 17701212 19176313 20615556 23601616 27487408 27883861 35402424 38352626 41231112 55767722 57528939 70804848 76705252 82462224 83651583 111535444 115057878 153410504 167303166 223070888 230115756 306821008 334606332 362490193 446141776 460231512 669212664 724980386 920463024 923867641 1087470579 1338425328 1449960772 1847735282 2174941158 2771602923 2899921544 3695470564 4349882316 5543205846 5799843088 7390941128 8699764632 11086411692 12010279333 14781882256 17399529264 22172823384 24020558666 36030837999 44345646768 48041117332 72061675998 96082234664 144123351996 192164469328 194936072251 288246703992 389872144502 576493407984 584808216753 779744289004 1169616433506 1559488578008 2339232867012 2534168939263 3118977156016 4678465734024 5068337878526 7602506817789 9356931468048 10136675757052 15205013635578 20273351514104 30410027271156 40546703028208 60820054542312 121640109084624