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121405033332 = 223411103330721
BaseRepresentation
bin111000100010001001…
…1011100101101110100
3102121100220222200220000
41301010103130231310
53442114142031312
6131434523111300
711525346520332
oct1610423345564
9377326880800
10121405033332
114753aa814a0
121b642372530
13b5aa308b3b
145c39ba8b52
1532584e1adc
hex1c444dcb74

121405033332 has 120 divisors (see below), whose sum is σ = 349591674432. Its totient is φ = 36432115200.

The previous prime is 121405033331. The next prime is 121405033357. The reversal of 121405033332 is 233330504121.

121405033332 is a `hidden beast` number, since 12 + 140 + 503 + 3 + 3 + 3 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121405033296 and 121405033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121405033331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201732 + ... + 532452.

Almost surely, 2121405033332 is an apocalyptic number.

121405033332 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 121405033332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174795837216).

121405033332 is an abundant number, since it is smaller than the sum of its proper divisors (228186641100).

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

121405033332 is a wasteful number, since it uses less digits than its factorization.

121405033332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330851 (or 330840 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 121405033332 its reverse (233330504121), we get a palindrome (354735537453).

The spelling of 121405033332 in words is "one hundred twenty-one billion, four hundred five million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 103 108 132 162 198 206 297 309 324 396 412 594 618 891 927 1133 1188 1236 1782 1854 2266 2781 3399 3564 3708 4532 5562 6798 8343 10197 11124 13596 16686 20394 30591 33372 40788 61182 91773 122364 183546 330721 367092 661442 992163 1322884 1984326 2976489 3637931 3968652 5952978 7275862 8929467 10913793 11905956 14551724 17858934 21827586 26788401 32741379 34064263 35717868 43655172 53576802 65482758 68128526 98224137 102192789 107153604 130965516 136257052 196448274 204385578 294672411 306578367 374706893 392896548 408771156 589344822 613156734 749413786 919735101 1124120679 1178689644 1226313468 1498827572 1839470202 2248241358 2759205303 3372362037 3678940404 4496482716 5518410606 6744724074 10117086111 11036821212 13489448148 20234172222 30351258333 40468344444 60702516666 121405033332