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121545460332 = 22335971268661
BaseRepresentation
bin111000100110010101…
…1001000101001101100
3102121201201020010112000
41301030223020221230
53442411114212312
6131500501012300
711532003236442
oct1611453105154
9377651203460
10121545460332
114760227536a
121b6813b4090
13b60043563a
145c506c0b92
1532659ceadc
hex1c4cac8a6c

121545460332 has 96 divisors (see below), whose sum is σ = 324973555200. Its totient is φ = 39267345600.

The previous prime is 121545460327. The next prime is 121545460381. The reversal of 121545460332 is 233064545121.

121545460332 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 45 + 4 + 603 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318082 + ... + 586742.

It is an arithmetic number, because the mean of its divisors is an integer number (3385141200).

Almost surely, 2121545460332 is an apocalyptic number.

121545460332 is a gapful number since it is divisible by the number (12) 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 121545460332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162486777600).

121545460332 is an abundant number, since it is smaller than the sum of its proper divisors (203428094868).

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

121545460332 is a wasteful number, since it uses less digits than its factorization.

121545460332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268804 (or 268796 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 121545460332 in words is "one hundred twenty-one billion, five hundred forty-five million, four hundred sixty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 71 108 118 142 177 213 236 284 354 426 531 639 708 852 1062 1278 1593 1917 2124 2556 3186 3834 4189 6372 7668 8378 12567 16756 25134 37701 50268 75402 113103 150804 226206 268661 452412 537322 805983 1074644 1611966 2417949 3223932 4835898 7253847 9671796 14507694 15850999 19074931 29015388 31701998 38149862 47552997 57224793 63403996 76299724 95105994 114449586 142658991 171674379 190211988 228899172 285317982 343348758 427976973 515023137 570635964 686697516 855953946 1030046274 1125420929 1711907892 2060092548 2250841858 3376262787 4501683716 6752525574 10128788361 13505051148 20257576722 30386365083 40515153444 60772730166 121545460332