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12020652400 = 2452179071949
BaseRepresentation
bin10110011000111110…
…01001100101110000
31011000201222102010011
423030133021211300
5144104241334100
65304444144304
7603611600551
oct131437114560
934021872104
1012020652400
115109388079
1223b5838094
131197515b93
14820676328
154a549ebba
hex2cc7c9970

12020652400 has 120 divisors (see below), whose sum is σ = 30627838800. Its totient is φ = 4518113280.

The previous prime is 12020652379. The next prime is 12020652409. The reversal of 12020652400 is 425602021.

12020652400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020652409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6166626 + ... + 6168574.

It is an arithmetic number, because the mean of its divisors is an integer number (255231990).

Almost surely, 212020652400 is an apocalyptic number.

12020652400 is a gapful number since it is divisible by the number (10) 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 12020652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313919400).

12020652400 is an abundant number, since it is smaller than the sum of its proper divisors (18607186400).

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

12020652400 is a wasteful number, since it uses less digits than its factorization.

12020652400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 12020652400 in words is "twelve billion, twenty million, six hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 907 1360 1700 1814 1949 3400 3628 3898 4535 6800 7256 7796 9070 9745 14512 15419 15592 18140 19490 22675 30838 31184 33133 36280 38980 45350 48725 61676 66266 72560 77095 77960 90700 97450 123352 132532 154190 155920 165665 181400 194900 246704 265064 308380 331330 362800 385475 389800 530128 616760 662660 770950 779600 828325 1233520 1325320 1541900 1656650 1767743 2650640 3083800 3313300 3535486 6167600 6626600 7070972 8838715 13253200 14141944 17677430 28283888 30051631 35354860 44193575 60103262 70709720 88387150 120206524 141419440 150258155 176774300 240413048 300516310 353548600 480826096 601032620 707097200 751290775 1202065240 1502581550 2404130480 3005163100 6010326200 12020652400