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1332121120 = 25511756887
BaseRepresentation
bin100111101100110…
…1000111000100000
310102211121202122021
41033121220320200
510212010333440
6340103551224
745003562021
oct11731507040
93384552567
101332121120
11623a47350
1231215b514
13182ca3565
14c8cc2c48
157be3784a
hex4f668e20

1332121120 has 48 divisors (see below), whose sum is σ = 3433243968. Its totient is φ = 484407040.

The previous prime is 1332121097. The next prime is 1332121121. The reversal of 1332121120 is 211212331.

1332121120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13321211203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1332121094 and 1332121103.

It is not an unprimeable number, because it can be changed into a prime (1332121121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376684 + ... + 380203.

It is an arithmetic number, because the mean of its divisors is an integer number (71525916).

Almost surely, 21332121120 is an apocalyptic number.

1332121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332121120 is an abundant number, since it is smaller than the sum of its proper divisors (2101122848).

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

1332121120 is a wasteful number, since it uses less digits than its factorization.

1332121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756913 (or 756905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1332121120 is about 36498.2344778484. The cubic root of 1332121120 is about 1100.3087618096.

Adding to 1332121120 its reverse (211212331), we get a palindrome (1543333451).

The spelling of 1332121120 in words is "one billion, three hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 756887 1513774 3027548 3784435 6055096 7568870 8325757 12110192 15137740 16651514 24220384 30275480 33303028 41628785 60550960 66606056 83257570 121101920 133212112 166515140 266424224 333030280 666060560 1332121120