1012151616 has 224 divisors, whose sum is σ = 3230392320. Its totient is φ = 273444864.

The previous prime is 1012151599. The next prime is 1012151617. The reversal of 1012151616 is 6161512101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1012151616² = 2048901787542822912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012151617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4234825 + ... + 4235063.

Almost surely, 2^1012151616 is an apocalyptic number.

1012151616 is a gapful number since it is divisible by the number (16) 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 1012151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615196160).

1012151616 is an abundant number, since it is smaller than the sum of its proper divisors (2218240704).

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

1012151616 is a wasteful number, since it uses less digits than its factorization.

1012151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 1012151616 is about 31814.3303559890. The cubic root of 1012151616 is about 1004.0342416749.

Adding to 1012151616 its reverse (6161512101), we get a palindrome (7173663717).

It can be divided in two parts, 101215 and 1616, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 1012151616 in words is "one billion, twelve million, one hundred fifty-one thousand, six hundred sixteen".