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121229357340 = 2235713431373769
BaseRepresentation
bin111000011100111010…
…1010011000100011100
3102120220200102102201210
41300321311103010130
53441234203413330
6131405245504420
711521114351410
oct1607165230434
9376820372653
10121229357340
114745a8a2523
121b5b3572110
13b57caba150
145c20718d40
153247d8e8b0
hex1c39d5311c

121229357340 has 384 divisors, whose sum is σ = 430725335040. Its totient is φ = 24794284032.

The previous prime is 121229357321. The next prime is 121229357357. The reversal of 121229357340 is 43753922121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32162976 + ... + 32166744.

It is an arithmetic number, because the mean of its divisors is an integer number (1121680560).

Almost surely, 2121229357340 is an apocalyptic number.

121229357340 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 121229357340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215362667520).

121229357340 is an abundant number, since it is smaller than the sum of its proper divisors (309495977700).

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

121229357340 is a wasteful number, since it uses less digits than its factorization.

121229357340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

It can be divided in two parts, 12122935 and 7340, that added together give a triangular number (12130275 = T4925).

The spelling of 121229357340 in words is "one hundred twenty-one billion, two hundred twenty-nine million, three hundred fifty-seven thousand, three hundred forty".