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121012113313332 = 2234373494176893
BaseRepresentation
bin11011100000111101010100…
…000001110000111000110100
3120212110122102020112112110000
4123200331110001300320310
5111330130302002011312
61105212110345431300
734326556656331413
oct3340752401607064
9525418366475400
10121012113313332
1135615a4920575a
12116a4b5ba9b530
13526a516182527
1421c503618d47a
15decc09571adc
hex6e0f54070e34

121012113313332 has 30 divisors (see below), whose sum is σ = 316349567829218. Its totient is φ = 40337371104336.

The previous prime is 121012113313309. The next prime is 121012113313369. The reversal of 121012113313332 is 233313311210121.

121012113313332 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 2 + 1 + 13 + 313 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79053899783076 + 41958213530256 = 8891226^2 + 6477516^2 .

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 = 121012113313296 and 121012113313305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 186747088123 + ... + 186747088770.

Almost surely, 2121012113313332 is an apocalyptic number.

121012113313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121012113313332 is an abundant number, since it is smaller than the sum of its proper divisors (195337454515886).

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

121012113313332 is a wasteful number, since it uses less digits than its factorization.

121012113313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373494176909 (or 373494176898 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 121012113313332 its reverse (233313311210121), we get a palindrome (354325424523453).

The spelling of 121012113313332 in words is "one hundred twenty-one trillion, twelve billion, one hundred thirteen million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 373494176893 746988353786 1120482530679 1493976707572 2240965061358 3361447592037 4481930122716 6722895184074 10084342776111 13445790368148 20168685552222 30253028328333 40337371104444 60506056656666 121012113313332