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121337190 = 23551323167
BaseRepresentation
bin1110011101101…
…11010101100110
322110022120100000
413032313111212
5222030242230
620012402130
73002230512
oct716672546
9273276300
10121337190
1162545477
1234776346
131c1a4770
1412187142
15a9bbb60
hex73b7566

121337190 has 192 divisors, whose sum is σ = 369847296. Its totient is φ = 28397952.

The previous prime is 121337147. The next prime is 121337207. The reversal of 121337190 is 91733121.

It is a super-2 number, since 2×1213371902 = 29445427354192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 726487 + ... + 726653.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2121337190 is an apocalyptic number.

121337190 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 121337190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

121337190 is an abundant number, since it is smaller than the sum of its proper divisors (248510106).

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

121337190 is a wasteful number, since it uses less digits than its factorization.

121337190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 121337190 is about 11015.3161552449. The cubic root of 121337190 is about 495.0677593192.

The spelling of 121337190 in words is "one hundred twenty-one million, three hundred thirty-seven thousand, one hundred ninety".