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1213296471040 = 210523311272617
BaseRepresentation
bin10001101001111110000…
…110101110110000000000
311021222201201100211020211
4101221332012232300000
5124334312344033130
62325214122043504
7153441421561513
oct21517606566000
94258651324224
101213296471040
11428613255635
1217718a649594
138a54b220154
1442a1c3c8d7a
15218621a0a2a
hex11a7e1aec00

1213296471040 has 352 divisors, whose sum is σ = 3160893947904. Its totient is φ = 445535354880.

The previous prime is 1213296471011. The next prime is 1213296471103. The reversal of 1213296471040 is 401746923121.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1213296470984 and 1213296471002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463619812 + ... + 463622428.

It is an arithmetic number, because the mean of its divisors is an integer number (8979812352).

Almost surely, 21213296471040 is an apocalyptic number.

1213296471040 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 1213296471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580446973952).

1213296471040 is an abundant number, since it is smaller than the sum of its proper divisors (1947597476864).

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

1213296471040 is a wasteful number, since it uses less digits than its factorization.

1213296471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1213296471040 in words is "one trillion, two hundred thirteen billion, two hundred ninety-six million, four hundred seventy-one thousand, forty".