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12240156216750 = 23537111939728099
BaseRepresentation
bin1011001000011110001000…
…1010011100110110101110
31121100010222112100221212220
42302013202022130312232
53101020314442414000
642011014455140210
72402215324121520
oct262074212346656
947303875327786
1012240156216750
11399a0260a1aa0
121458283674666
136aa31b258a57
143045d8cd3a10
151635db9381a0
hexb21e229cdae

12240156216750 has 512 divisors, whose sum is σ = 40197261312000. Its totient is φ = 2403390528000.

The previous prime is 12240156216697. The next prime is 12240156216751. The reversal of 12240156216750 is 5761265104221.

12240156216750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12240156216751) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 435594201 + ... + 435622299.

It is an arithmetic number, because the mean of its divisors is an integer number (78510276000).

Almost surely, 212240156216750 is an apocalyptic number.

12240156216750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240156216750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20098630656000).

12240156216750 is an abundant number, since it is smaller than the sum of its proper divisors (27957105095250).

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

12240156216750 is a wasteful number, since it uses less digits than its factorization.

12240156216750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28553 (or 28543 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 12240156216750 in words is "twelve trillion, two hundred forty billion, one hundred fifty-six million, two hundred sixteen thousand, seven hundred fifty".