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1332113211120 = 243537150012749
BaseRepresentation
bin10011011000101000001…
…000100111111011110000
311201100102021000121021210
4103120220020213323300
5133311131440223440
62455544145120120
7165146002316526
oct23305010477360
94640367017253
101332113211120
11473a451a7a9a
1219620a029040
1398805224703
144869051c316
15249b8325a80
hex13628227ef0

1332113211120 has 80 divisors (see below), whose sum is σ = 4241160468000. Its totient is φ = 345629371392.

The previous prime is 1332113211109. The next prime is 1332113211127. The reversal of 1332113211120 is 211123112331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332113211127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74997495 + ... + 75015254.

It is an arithmetic number, because the mean of its divisors is an integer number (53014505850).

Almost surely, 21332113211120 is an apocalyptic number.

1332113211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332113211120 is an abundant number, since it is smaller than the sum of its proper divisors (2909047256880).

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

1332113211120 is a wasteful number, since it uses less digits than its factorization.

1332113211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150012802 (or 150012796 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1332113211120 its reverse (211123112331), we get a palindrome (1543236323451).

The spelling of 1332113211120 in words is "one trillion, three hundred thirty-two billion, one hundred thirteen million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 150012749 300025498 450038247 600050996 750063745 900076494 1200101992 1500127490 1800152988 2250191235 2400203984 3000254980 3600305976 4500382470 5550471713 6000509960 7200611952 9000764940 11100943426 12001019920 16651415139 18001529880 22201886852 27752358565 33302830278 36003059760 44403773704 55504717130 66605660556 83257075695 88807547408 111009434260 133211321112 166514151390 222018868520 266422642224 333028302780 444037737040 666056605560 1332113211120